Solve 100*(1+1.11%)*(1+14.7%)*(1+x)=124.92

$$100 \times ( 1 + 1.11 \% ) \times ( 1 + 14.7 \% ) \times ( 1 + x ) = 124.92$$

Solve for x

$$x=\frac{894683}{11597317}\approx 0.077145688$$

Steps for Solving Linear Equation

Expand \frac{1.11}{100} by multiplying both numerator and the denominator by 100.

$$100\left(1+\frac{111}{10000}\right)\left(1+\frac{14.7}{100}\right)\left(1+x\right)=124.92$$

Convert 1 to fraction \frac{10000}{10000}.

$$100\left(\frac{10000}{10000}+\frac{111}{10000}\right)\left(1+\frac{14.7}{100}\right)\left(1+x\right)=124.92$$

Since \frac{10000}{10000} and \frac{111}{10000} have the same denominator, add them by adding their numerators.

$$100\times \frac{10000+111}{10000}\left(1+\frac{14.7}{100}\right)\left(1+x\right)=124.92$$

Add 10000 and 111 to get 10111.

$$100\times \frac{10111}{10000}\left(1+\frac{14.7}{100}\right)\left(1+x\right)=124.92$$

Express 100\times \frac{10111}{10000} as a single fraction.

$$\frac{100\times 10111}{10000}\left(1+\frac{14.7}{100}\right)\left(1+x\right)=124.92$$

Multiply 100 and 10111 to get 1011100.

$$\frac{1011100}{10000}\left(1+\frac{14.7}{100}\right)\left(1+x\right)=124.92$$

Reduce the fraction \frac{1011100}{10000} to lowest terms by extracting and canceling out 100.

$$\frac{10111}{100}\left(1+\frac{14.7}{100}\right)\left(1+x\right)=124.92$$

Expand \frac{14.7}{100} by multiplying both numerator and the denominator by 10.

$$\frac{10111}{100}\left(1+\frac{147}{1000}\right)\left(1+x\right)=124.92$$

Convert 1 to fraction \frac{1000}{1000}.

$$\frac{10111}{100}\left(\frac{1000}{1000}+\frac{147}{1000}\right)\left(1+x\right)=124.92$$

Since \frac{1000}{1000} and \frac{147}{1000} have the same denominator, add them by adding their numerators.

$$\frac{10111}{100}\times \frac{1000+147}{1000}\left(1+x\right)=124.92$$

Add 1000 and 147 to get 1147.

$$\frac{10111}{100}\times \frac{1147}{1000}\left(1+x\right)=124.92$$

Multiply \frac{10111}{100} times \frac{1147}{1000} by multiplying numerator times numerator and denominator times denominator.

$$\frac{10111\times 1147}{100\times 1000}\left(1+x\right)=124.92$$

Do the multiplications in the fraction \frac{10111\times 1147}{100\times 1000}.

$$\frac{11597317}{100000}\left(1+x\right)=124.92$$

Use the distributive property to multiply \frac{11597317}{100000} by 1+x.

$$\frac{11597317}{100000}+\frac{11597317}{100000}x=124.92$$

Subtract \frac{11597317}{100000} from both sides.

$$\frac{11597317}{100000}x=124.92-\frac{11597317}{100000}$$

Convert decimal number 124.92 to fraction \frac{12492}{100}. Reduce the fraction \frac{12492}{100} to lowest terms by extracting and canceling out 4.

$$\frac{11597317}{100000}x=\frac{3123}{25}-\frac{11597317}{100000}$$

Least common multiple of 25 and 100000 is 100000. Convert \frac{3123}{25} and \frac{11597317}{100000} to fractions with denominator 100000.

$$\frac{11597317}{100000}x=\frac{12492000}{100000}-\frac{11597317}{100000}$$

Since \frac{12492000}{100000} and \frac{11597317}{100000} have the same denominator, subtract them by subtracting their numerators.

$$\frac{11597317}{100000}x=\frac{12492000-11597317}{100000}$$

Subtract 11597317 from 12492000 to get 894683.

$$\frac{11597317}{100000}x=\frac{894683}{100000}$$

Multiply both sides by \frac{100000}{11597317}, the reciprocal of \frac{11597317}{100000}.

$$x=\frac{894683}{100000}\times \frac{100000}{11597317}$$

Multiply \frac{894683}{100000} times \frac{100000}{11597317} by multiplying numerator times numerator and denominator times denominator.

$$x=\frac{894683\times 100000}{100000\times 11597317}$$

Cancel out 100000 in both numerator and denominator.

$$x=\frac{894683}{11597317}$$