Finding the Fourth Proportional to 10,589.91, 14,613.70 and 5,874.63

Step by Step Solution

1. Step 1: Write the proportion equation
   10,589.91 : 14,613.70 = 5,874.63 : x
2. Step 2: Convert to fraction form
   10,589.91/14,613.70 = 5,874.63/x
3. Step 3: Cross multiply
   10,589.91x = 14,613.70 × 5,874.63
4. Step 4: Simplify right side
   10,589.91x = 85,850,080.43
5. Step 5: Solve for x
   x = 85,850,080.43/10,589.91
6. Step 6: Final answer
   x = 8,106.78