Finding the Fourth Proportional to 10,265.47, 14,166.06 and 5,789.18

Step by Step Solution

1. Step 1: Write the proportion equation
   10,265.47 : 14,166.06 = 5,789.18 : x
2. Step 2: Convert to fraction form
   10,265.47/14,166.06 = 5,789.18/x
3. Step 3: Cross multiply
   10,265.47x = 14,166.06 × 5,789.18
4. Step 4: Simplify right side
   10,265.47x = 82,009,871.23
5. Step 5: Solve for x
   x = 82,009,871.23/10,265.47
6. Step 6: Final answer
   x = 7,988.91