Finding the Fourth Proportional to 10,566.33, 14,581.80 and 5,850.78

Step by Step Solution

1. Step 1: Write the proportion equation
   10,566.33 : 14,581.80 = 5,850.78 : x
2. Step 2: Convert to fraction form
   10,566.33/14,581.80 = 5,850.78/x
3. Step 3: Cross multiply
   10,566.33x = 14,581.80 × 5,850.78
4. Step 4: Simplify right side
   10,566.33x = 85,314,903.80
5. Step 5: Solve for x
   x = 85,314,903.80/10,566.33
6. Step 6: Final answer
   x = 8,074.22