Finding the Fourth Proportional to 10,442.88, 14,411.12 and 5,662.78

Step by Step Solution

1. Step 1: Write the proportion equation
   10,442.88 : 14,411.12 = 5,662.78 : x
2. Step 2: Convert to fraction form
   10,442.88/14,411.12 = 5,662.78/x
3. Step 3: Cross multiply
   10,442.88x = 14,411.12 × 5,662.78
4. Step 4: Simplify right side
   10,442.88x = 81,607,002.11
5. Step 5: Solve for x
   x = 81,607,002.11/10,442.88
6. Step 6: Final answer
   x = 7,814.61