Finding the Fourth Proportional to 10,229.78, 14,113.10 and 5,752.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,229.78 : 14,113.10 = 5,752.50 : x
2. Step 2: Convert to fraction form
   10,229.78/14,113.10 = 5,752.50/x
3. Step 3: Cross multiply
   10,229.78x = 14,113.10 × 5,752.50
4. Step 4: Simplify right side
   10,229.78x = 81,185,607.75
5. Step 5: Solve for x
   x = 81,185,607.75/10,229.78
6. Step 6: Final answer
   x = 7,936.20