Finding the Fourth Proportional to 9,766.24, 14,648.14 and 3,920.88

Step by Step Solution

1. Step 1: Write the proportion equation
   9,766.24 : 14,648.14 = 3,920.88 : x
2. Step 2: Convert to fraction form
   9,766.24/14,648.14 = 3,920.88/x
3. Step 3: Cross multiply
   9,766.24x = 14,648.14 × 3,920.88
4. Step 4: Simplify right side
   9,766.24x = 57,433,599.16
5. Step 5: Solve for x
   x = 57,433,599.16/9,766.24
6. Step 6: Final answer
   x = 5,880.83