Finding the Fourth Proportional to 9,385.57, 14,074.21 and 5,002.09

Step by Step Solution

1. Step 1: Write the proportion equation
   9,385.57 : 14,074.21 = 5,002.09 : x
2. Step 2: Convert to fraction form
   9,385.57/14,074.21 = 5,002.09/x
3. Step 3: Cross multiply
   9,385.57x = 14,074.21 × 5,002.09
4. Step 4: Simplify right side
   9,385.57x = 70,400,465.10
5. Step 5: Solve for x
   x = 70,400,465.10/9,385.57
6. Step 6: Final answer
   x = 7,500.93