Finding the Fourth Proportional to 9,329.50, 12,874.71 and 5,138.02

Step by Step Solution

1. Step 1: Write the proportion equation
   9,329.50 : 12,874.71 = 5,138.02 : x
2. Step 2: Convert to fraction form
   9,329.50/12,874.71 = 5,138.02/x
3. Step 3: Cross multiply
   9,329.50x = 12,874.71 × 5,138.02
4. Step 4: Simplify right side
   9,329.50x = 66,150,517.47
5. Step 5: Solve for x
   x = 66,150,517.47/9,329.50
6. Step 6: Final answer
   x = 7,090.47