Finding the Fourth Proportional to 10,440.38, 14,407.62 and 5,724.74

Step by Step Solution

1. Step 1: Write the proportion equation
   10,440.38 : 14,407.62 = 5,724.74 : x
2. Step 2: Convert to fraction form
   10,440.38/14,407.62 = 5,724.74/x
3. Step 3: Cross multiply
   10,440.38x = 14,407.62 × 5,724.74
4. Step 4: Simplify right side
   10,440.38x = 82,479,878.52
5. Step 5: Solve for x
   x = 82,479,878.52/10,440.38
6. Step 6: Final answer
   x = 7,900.08