Finding the Fourth Proportional to 10,446.86, 14,414.20 and 5,909.65

Step by Step Solution

1. Step 1: Write the proportion equation
   10,446.86 : 14,414.20 = 5,909.65 : x
2. Step 2: Convert to fraction form
   10,446.86/14,414.20 = 5,909.65/x
3. Step 3: Cross multiply
   10,446.86x = 14,414.20 × 5,909.65
4. Step 4: Simplify right side
   10,446.86x = 85,182,826.22
5. Step 5: Solve for x
   x = 85,182,826.22/10,446.86
6. Step 6: Final answer
   x = 8,153.91