Finding the Fourth Proportional to 10,440.10, 14,406.68 and 5,724.42

Step by Step Solution

1. Step 1: Write the proportion equation
   10,440.10 : 14,406.68 = 5,724.42 : x
2. Step 2: Convert to fraction form
   10,440.10/14,406.68 = 5,724.42/x
3. Step 3: Cross multiply
   10,440.10x = 14,406.68 × 5,724.42
4. Step 4: Simplify right side
   10,440.10x = 82,469,887.13
5. Step 5: Solve for x
   x = 82,469,887.13/10,440.10
6. Step 6: Final answer
   x = 7,899.34