Finding the Fourth Proportional to 10,589.97, 14,614.16 and 5,874.25

Step by Step Solution

1. Step 1: Write the proportion equation
   10,589.97 : 14,614.16 = 5,874.25 : x
2. Step 2: Convert to fraction form
   10,589.97/14,614.16 = 5,874.25/x
3. Step 3: Cross multiply
   10,589.97x = 14,614.16 × 5,874.25
4. Step 4: Simplify right side
   10,589.97x = 85,847,174.55
5. Step 5: Solve for x
   x = 85,847,174.55/10,589.97
6. Step 6: Final answer
   x = 8,106.46