Solve the following equation for x to five-figure accuracy.(Do not round intermediate calculations. Round your answer to 2 decimal places.) 4x(1.11^5)+(x)/(1.11^3)+x=( 3,300)/(1.11^2) x= square

## Step 1: Simplify the equation<br />### Divide both sides of the equation by $1.11^2$:<br />$4x(1.11^{5})/1.11^2 + x/(1.11^5) + x/1.11^2 = \$3300/1.11^2$ simplifies to $4x(1.11^3) + x/(1.11^5) + x/1.11^2 = \$3300/1.11^2$<br /><br />## Step 2: Calculate the powers of 1.11<br />### Calculate the values of $1.11^3$, $1.11^5$ and $1.11^2$:<br />$1.11^3 = 1.367631$<br />$1.11^5 = 1.61051$<br />$1.11^2 = 1.2321$<br /><br />## Step 3: Substitute the calculated values<br />### Substitute the calculated values into the simplified equation:<br />$4x(1.367631) + \frac{x}{1.61051} + \frac{x}{1.2321} = \frac{\$3300}{1.2321}$ which simplifies to $5.470524x + 0.620921x + 0.811622x = \$2678.23$<br /><br />## Step 4: Combine the x terms<br />### Combine the coefficients of x:<br />$(5.470524 + 0.620921 + 0.811622)x = 6.903067x$<br /><br />## Step 5: Solve for x<br />### Divide both sides by the coefficient of x:<br />$x = \frac{\$2678.23}{6.903067}$<br />$x = \$387.9717$<br /><br />## Step 6: Round to two decimal places<br />### Round the value of x to two decimal places:<br />$x \approx \$387.97$