Finding the Fourth Proportional to 10,566.31, 14,581.61 and 5,850.70

Step by Step Solution

1. Step 1: Write the proportion equation
   10,566.31 : 14,581.61 = 5,850.70 : x
2. Step 2: Convert to fraction form
   10,566.31/14,581.61 = 5,850.70/x
3. Step 3: Cross multiply
   10,566.31x = 14,581.61 × 5,850.70
4. Step 4: Simplify right side
   10,566.31x = 85,312,625.63
5. Step 5: Solve for x
   x = 85,312,625.63/10,566.31
6. Step 6: Final answer
   x = 8,074.02