Finding the Fourth Proportional to 10,256.24, 14,153.62 and 5,540.52

Step by Step Solution

1. Step 1: Write the proportion equation
   10,256.24 : 14,153.62 = 5,540.52 : x
2. Step 2: Convert to fraction form
   10,256.24/14,153.62 = 5,540.52/x
3. Step 3: Cross multiply
   10,256.24x = 14,153.62 × 5,540.52
4. Step 4: Simplify right side
   10,256.24x = 78,418,414.68
5. Step 5: Solve for x
   x = 78,418,414.68/10,256.24
6. Step 6: Final answer
   x = 7,645.92