Finding the Fourth Proportional to 10,589.50, 14,613.51 and 5,874.76

Step by Step Solution

1. Step 1: Write the proportion equation
   10,589.50 : 14,613.51 = 5,874.76 : x
2. Step 2: Convert to fraction form
   10,589.50/14,613.51 = 5,874.76/x
3. Step 3: Cross multiply
   10,589.50x = 14,613.51 × 5,874.76
4. Step 4: Simplify right side
   10,589.50x = 85,850,864.01
5. Step 5: Solve for x
   x = 85,850,864.01/10,589.50
6. Step 6: Final answer
   x = 8,107.17