Finding the Fourth Proportional to 9,311.50, 12,850.14 and 5,120.02

Step by Step Solution

1. Step 1: Write the proportion equation
   9,311.50 : 12,850.14 = 5,120.02 : x
2. Step 2: Convert to fraction form
   9,311.50/12,850.14 = 5,120.02/x
3. Step 3: Cross multiply
   9,311.50x = 12,850.14 × 5,120.02
4. Step 4: Simplify right side
   9,311.50x = 65,792,973.80
5. Step 5: Solve for x
   x = 65,792,973.80/9,311.50
6. Step 6: Final answer
   x = 7,065.78