Finding the Fourth Proportional to 9,294.96, 12,832.02 and 7,165.83

Step by Step Solution

1. Step 1: Write the proportion equation
   9,294.96 : 12,832.02 = 7,165.83 : x
2. Step 2: Convert to fraction form
   9,294.96/12,832.02 = 7,165.83/x
3. Step 3: Cross multiply
   9,294.96x = 12,832.02 × 7,165.83
4. Step 4: Simplify right side
   9,294.96x = 91,952,073.88
5. Step 5: Solve for x
   x = 91,952,073.88/9,294.96
6. Step 6: Final answer
   x = 9,892.68