Finding the Fourth Proportional to 10,589.92, 14,614.95 and 5,874.10

Step by Step Solution

1. Step 1: Write the proportion equation
   10,589.92 : 14,614.95 = 5,874.10 : x
2. Step 2: Convert to fraction form
   10,589.92/14,614.95 = 5,874.10/x
3. Step 3: Cross multiply
   10,589.92x = 14,614.95 × 5,874.10
4. Step 4: Simplify right side
   10,589.92x = 85,849,677.80
5. Step 5: Solve for x
   x = 85,849,677.80/10,589.92
6. Step 6: Final answer
   x = 8,106.74