Finding the Fourth Proportional to 9,766.16, 14,644.86 and 5,819.28

Step by Step Solution

1. Step 1: Write the proportion equation
   9,766.16 : 14,644.86 = 5,819.28 : x
2. Step 2: Convert to fraction form
   9,766.16/14,644.86 = 5,819.28/x
3. Step 3: Cross multiply
   9,766.16x = 14,644.86 × 5,819.28
4. Step 4: Simplify right side
   9,766.16x = 85,222,464.16
5. Step 5: Solve for x
   x = 85,222,464.16/9,766.16
6. Step 6: Final answer
   x = 8,726.30