The problem asks to find $58\frac{1}{10}\%$ of $\$764.69$ and round the answer to the nearest cent.

1. Problem Description

The problem asks to find $58\frac{1}{10}\%$ of \764.69$ and round the answer to the nearest cent.

2. Solution Steps

First, convert the mixed number percentage to a decimal.

$58\frac{1}{10} = 58.1$.

To convert a percentage to a decimal, divide by 100:

$58.1\% = \frac{58.1}{100} = 0.581$.

Now, multiply this decimal by the dollar amount:

0.581 \times \764.69 = \$444.28589$.

Round the result to the nearest cent (two decimal places):

\444.28589 \approx \$444.29$.

3. Final Answer

$444.29