Finding the Fourth Proportional to 10,442.77, 14,410.72 and 5,966.43

Step by Step Solution

1. Step 1: Write the proportion equation
   10,442.77 : 14,410.72 = 5,966.43 : x
2. Step 2: Convert to fraction form
   10,442.77/14,410.72 = 5,966.43/x
3. Step 3: Cross multiply
   10,442.77x = 14,410.72 × 5,966.43
4. Step 4: Simplify right side
   10,442.77x = 85,980,505.55
5. Step 5: Solve for x
   x = 85,980,505.55/10,442.77
6. Step 6: Final answer
   x = 8,233.50