Finding the Fourth Proportional to 10,256.32, 14,153.72 and 5,540.60

Step by Step Solution

1. Step 1: Write the proportion equation
   10,256.32 : 14,153.72 = 5,540.60 : x
2. Step 2: Convert to fraction form
   10,256.32/14,153.72 = 5,540.60/x
3. Step 3: Cross multiply
   10,256.32x = 14,153.72 × 5,540.60
4. Step 4: Simplify right side
   10,256.32x = 78,420,030.26
5. Step 5: Solve for x
   x = 78,420,030.26/10,256.32
6. Step 6: Final answer
   x = 7,646.02