Finding the Fourth Proportional to 10,397.88, 14,349.15 and 5,682.24

Step by Step Solution

1. Step 1: Write the proportion equation
   10,397.88 : 14,349.15 = 5,682.24 : x
2. Step 2: Convert to fraction form
   10,397.88/14,349.15 = 5,682.24/x
3. Step 3: Cross multiply
   10,397.88x = 14,349.15 × 5,682.24
4. Step 4: Simplify right side
   10,397.88x = 81,535,314.10
5. Step 5: Solve for x
   x = 81,535,314.10/10,397.88
6. Step 6: Final answer
   x = 7,841.53