Finding the Fourth Proportional to 10,275.38, 14,178.60 and 5,737.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,275.38 : 14,178.60 = 5,737.50 : x
2. Step 2: Convert to fraction form
   10,275.38/14,178.60 = 5,737.50/x
3. Step 3: Cross multiply
   10,275.38x = 14,178.60 × 5,737.50
4. Step 4: Simplify right side
   10,275.38x = 81,349,731.43
5. Step 5: Solve for x
   x = 81,349,731.43/10,275.38
6. Step 6: Final answer
   x = 7,916.96