Finding the Fourth Proportional to 10,255.88, 14,153.12 and 5,540.16

Step by Step Solution

1. Step 1: Write the proportion equation
   10,255.88 : 14,153.12 = 5,540.16 : x
2. Step 2: Convert to fraction form
   10,255.88/14,153.12 = 5,540.16/x
3. Step 3: Cross multiply
   10,255.88x = 14,153.12 × 5,540.16
4. Step 4: Simplify right side
   10,255.88x = 78,410,450.83
5. Step 5: Solve for x
   x = 78,410,450.83/10,255.88
6. Step 6: Final answer
   x = 7,645.42