Finding the Fourth Proportional to 10,367.10, 14,306.98 and 5,891.61

Step by Step Solution

1. Step 1: Write the proportion equation
   10,367.10 : 14,306.98 = 5,891.61 : x
2. Step 2: Convert to fraction form
   10,367.10/14,306.98 = 5,891.61/x
3. Step 3: Cross multiply
   10,367.10x = 14,306.98 × 5,891.61
4. Step 4: Simplify right side
   10,367.10x = 84,291,074.90
5. Step 5: Solve for x
   x = 84,291,074.90/10,367.10
6. Step 6: Final answer
   x = 8,130.64