Finding the Fourth Proportional to 10,465.77, 14,442.72 and 5,989.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,465.77 : 14,442.72 = 5,989.50 : x
2. Step 2: Convert to fraction form
   10,465.77/14,442.72 = 5,989.50/x
3. Step 3: Cross multiply
   10,465.77x = 14,442.72 × 5,989.50
4. Step 4: Simplify right side
   10,465.77x = 86,504,671.44
5. Step 5: Solve for x
   x = 86,504,671.44/10,465.77
6. Step 6: Final answer
   x = 8,265.49