Finding the Fourth Proportional to 10,401.52, 14,354.32 and 5,686.24

Step by Step Solution

1. Step 1: Write the proportion equation
   10,401.52 : 14,354.32 = 5,686.24 : x
2. Step 2: Convert to fraction form
   10,401.52/14,354.32 = 5,686.24/x
3. Step 3: Cross multiply
   10,401.52x = 14,354.32 × 5,686.24
4. Step 4: Simplify right side
   10,401.52x = 81,622,108.56
5. Step 5: Solve for x
   x = 81,622,108.56/10,401.52
6. Step 6: Final answer
   x = 7,847.13