Finding the Fourth Proportional to 10,265.32, 14,165.85 and 5,789.02

Step by Step Solution

1. Step 1: Write the proportion equation
   10,265.32 : 14,165.85 = 5,789.02 : x
2. Step 2: Convert to fraction form
   10,265.32/14,165.85 = 5,789.02/x
3. Step 3: Cross multiply
   10,265.32x = 14,165.85 × 5,789.02
4. Step 4: Simplify right side
   10,265.32x = 82,006,388.97
5. Step 5: Solve for x
   x = 82,006,388.97/10,265.32
6. Step 6: Final answer
   x = 7,988.68