Finding the Fourth Proportional to 10,265.14, 14,165.49 and 5,789.83

Step by Step Solution

1. Step 1: Write the proportion equation
   10,265.14 : 14,165.49 = 5,789.83 : x
2. Step 2: Convert to fraction form
   10,265.14/14,165.49 = 5,789.83/x
3. Step 3: Cross multiply
   10,265.14x = 14,165.49 × 5,789.83
4. Step 4: Simplify right side
   10,265.14x = 82,015,778.97
5. Step 5: Solve for x
   x = 82,015,778.97/10,265.14
6. Step 6: Final answer
   x = 7,989.74