Finding the Fourth Proportional to 10,766.39, 16,150.05 and 5,766.66

Step by Step Solution

1. Step 1: Write the proportion equation
   10,766.39 : 16,150.05 = 5,766.66 : x
2. Step 2: Convert to fraction form
   10,766.39/16,150.05 = 5,766.66/x
3. Step 3: Cross multiply
   10,766.39x = 16,150.05 × 5,766.66
4. Step 4: Simplify right side
   10,766.39x = 93,131,847.33
5. Step 5: Solve for x
   x = 93,131,847.33/10,766.39
6. Step 6: Final answer
   x = 8,650.24