To find the missing number, we can set up the equation based on the information given:
\[ 96.14 \times x = 9,614 \]
To solve for \( x \), we can divide both sides of the equation by 96.14:
\[ x = \frac{9,614}{96.14} \]
Now, performing the division:
\[ x \approx 100 \]
So the missing number is \( \boxed{100} \).