Finding the Fourth Proportional to 10,265.46, 14,166 and 5,789.40

Step by Step Solution

1. Step 1: Write the proportion equation
   10,265.46 : 14,166 = 5,789.40 : x
2. Step 2: Convert to fraction form
   10,265.46/14,166 = 5,789.40/x
3. Step 3: Cross multiply
   10,265.46x = 14,166 × 5,789.40
4. Step 4: Simplify right side
   10,265.46x = 82,012,640.40
5. Step 5: Solve for x
   x = 82,012,640.40/10,265.46
6. Step 6: Final answer
   x = 7,989.18