Finding the Fourth Proportional to 10,737.72, 14,816.43 and 6,138.17

Step by Step Solution

1. Step 1: Write the proportion equation
   10,737.72 : 14,816.43 = 6,138.17 : x
2. Step 2: Convert to fraction form
   10,737.72/14,816.43 = 6,138.17/x
3. Step 3: Cross multiply
   10,737.72x = 14,816.43 × 6,138.17
4. Step 4: Simplify right side
   10,737.72x = 90,945,747.61
5. Step 5: Solve for x
   x = 90,945,747.61/10,737.72
6. Step 6: Final answer
   x = 8,469.74