Finding the Fourth Proportional to 5,152.50, 7,728.39 and 2,688.71

Step by Step Solution

1. Step 1: Write the proportion equation
   5,152.50 : 7,728.39 = 2,688.71 : x
2. Step 2: Convert to fraction form
   5,152.50/7,728.39 = 2,688.71/x
3. Step 3: Cross multiply
   5,152.50x = 7,728.39 × 2,688.71
4. Step 4: Simplify right side
   5,152.50x = 20,779,399.48
5. Step 5: Solve for x
   x = 20,779,399.48/5,152.50
6. Step 6: Final answer
   x = 4,032.88