Finding the Fourth Proportional to 10,566.29, 14,581.79 and 5,850.57

Step by Step Solution

1. Step 1: Write the proportion equation
   10,566.29 : 14,581.79 = 5,850.57 : x
2. Step 2: Convert to fraction form
   10,566.29/14,581.79 = 5,850.57/x
3. Step 3: Cross multiply
   10,566.29x = 14,581.79 × 5,850.57
4. Step 4: Simplify right side
   10,566.29x = 85,311,830.49
5. Step 5: Solve for x
   x = 85,311,830.49/10,566.29
6. Step 6: Final answer
   x = 8,073.96