Finding the Fourth Proportional to 7,132.50, 10,689.32 and 5,164.71

Step by Step Solution

1. Step 1: Write the proportion equation
   7,132.50 : 10,689.32 = 5,164.71 : x
2. Step 2: Convert to fraction form
   7,132.50/10,689.32 = 5,164.71/x
3. Step 3: Cross multiply
   7,132.50x = 10,689.32 × 5,164.71
4. Step 4: Simplify right side
   7,132.50x = 55,207,237.90
5. Step 5: Solve for x
   x = 55,207,237.90/7,132.50
6. Step 6: Final answer
   x = 7,740.24