Finding the Fourth Proportional to 10,265.64, 14,166.42 and 5,789.40

Step by Step Solution

1. Step 1: Write the proportion equation
   10,265.64 : 14,166.42 = 5,789.40 : x
2. Step 2: Convert to fraction form
   10,265.64/14,166.42 = 5,789.40/x
3. Step 3: Cross multiply
   10,265.64x = 14,166.42 × 5,789.40
4. Step 4: Simplify right side
   10,265.64x = 82,015,071.95
5. Step 5: Solve for x
   x = 82,015,071.95/10,265.64
6. Step 6: Final answer
   x = 7,989.28