Finding the Fourth Proportional to 9,414.30, 12,981.13 and 7,707.50

Step by Step Solution

1. Step 1: Write the proportion equation
   9,414.30 : 12,981.13 = 7,707.50 : x
2. Step 2: Convert to fraction form
   9,414.30/12,981.13 = 7,707.50/x
3. Step 3: Cross multiply
   9,414.30x = 12,981.13 × 7,707.50
4. Step 4: Simplify right side
   9,414.30x = 100,052,059.48
5. Step 5: Solve for x
   x = 100,052,059.48/9,414.30
6. Step 6: Final answer
   x = 10,627.67