Finding the Fourth Proportional to 10,265.36, 14,166.14 and 5,789.15

Step by Step Solution

1. Step 1: Write the proportion equation
   10,265.36 : 14,166.14 = 5,789.15 : x
2. Step 2: Convert to fraction form
   10,265.36/14,166.14 = 5,789.15/x
3. Step 3: Cross multiply
   10,265.36x = 14,166.14 × 5,789.15
4. Step 4: Simplify right side
   10,265.36x = 82,009,909.38
5. Step 5: Solve for x
   x = 82,009,909.38/10,265.36
6. Step 6: Final answer
   x = 7,988.99