Finding the Fourth Proportional to 10,442.81, 14,411.81 and 5,727.40

Step by Step Solution

1. Step 1: Write the proportion equation
   10,442.81 : 14,411.81 = 5,727.40 : x
2. Step 2: Convert to fraction form
   10,442.81/14,411.81 = 5,727.40/x
3. Step 3: Cross multiply
   10,442.81x = 14,411.81 × 5,727.40
4. Step 4: Simplify right side
   10,442.81x = 82,542,200.59
5. Step 5: Solve for x
   x = 82,542,200.59/10,442.81
6. Step 6: Final answer
   x = 7,904.21