To solve the proportion \( \frac{39.1}{x} = \frac{18.63}{46.5} \), we can cross-multiply to find \( x \).
Cross-multiplying gives us:
\[ 39.1 \times 46.5 = 18.63 \times x \]
Now, let's calculate \( 39.1 \times 46.5 \):
\[ 39.1 \times 46.5 \approx 1821.15 \]
So the equation becomes:
\[ 1821.15 = 18.63 \times x \]
Next, we can solve for \( x \) by dividing both sides by \( 18.63 \):
\[ x = \frac{1821.15}{18.63} \]
Now, calculating that gives:
\[ x \approx 97.667 \]
So the solution is approximately:
\[ x \approx 97.67 \] (rounded to two decimal places).