Finding the Fourth Proportional to 9,294.63, 12,831.59 and 7,165.50

Step by Step Solution

1. Step 1: Write the proportion equation
   9,294.63 : 12,831.59 = 7,165.50 : x
2. Step 2: Convert to fraction form
   9,294.63/12,831.59 = 7,165.50/x
3. Step 3: Cross multiply
   9,294.63x = 12,831.59 × 7,165.50
4. Step 4: Simplify right side
   9,294.63x = 91,944,707.79
5. Step 5: Solve for x
   x = 91,944,707.79/9,294.63
6. Step 6: Final answer
   x = 9,892.24