Finding the Fourth Proportional to 9,766.08, 14,647.56 and 3,192.20

Step by Step Solution

1. Step 1: Write the proportion equation
   9,766.08 : 14,647.56 = 3,192.20 : x
2. Step 2: Convert to fraction form
   9,766.08/14,647.56 = 3,192.20/x
3. Step 3: Cross multiply
   9,766.08x = 14,647.56 × 3,192.20
4. Step 4: Simplify right side
   9,766.08x = 46,757,941.03
5. Step 5: Solve for x
   x = 46,757,941.03/9,766.08
6. Step 6: Final answer
   x = 4,787.79