Finding the Fourth Proportional to 10,566.54, 14,581.62 and 5,850.86

Step by Step Solution

1. Step 1: Write the proportion equation
   10,566.54 : 14,581.62 = 5,850.86 : x
2. Step 2: Convert to fraction form
   10,566.54/14,581.62 = 5,850.86/x
3. Step 3: Cross multiply
   10,566.54x = 14,581.62 × 5,850.86
4. Step 4: Simplify right side
   10,566.54x = 85,314,944.29
5. Step 5: Solve for x
   x = 85,314,944.29/10,566.54
6. Step 6: Final answer
   x = 8,074.07