Finding the Fourth Proportional to 10,265.33, 14,166.09 and 5,789.12

Step by Step Solution

1. Step 1: Write the proportion equation
   10,265.33 : 14,166.09 = 5,789.12 : x
2. Step 2: Convert to fraction form
   10,265.33/14,166.09 = 5,789.12/x
3. Step 3: Cross multiply
   10,265.33x = 14,166.09 × 5,789.12
4. Step 4: Simplify right side
   10,265.33x = 82,009,203.79
5. Step 5: Solve for x
   x = 82,009,203.79/10,265.33
6. Step 6: Final answer
   x = 7,988.95