Finding the Fourth Proportional to 9,774.24, 14,664.72 and 3,201.60

Step by Step Solution

1. Step 1: Write the proportion equation
   9,774.24 : 14,664.72 = 3,201.60 : x
2. Step 2: Convert to fraction form
   9,774.24/14,664.72 = 3,201.60/x
3. Step 3: Cross multiply
   9,774.24x = 14,664.72 × 3,201.60
4. Step 4: Simplify right side
   9,774.24x = 46,950,567.55
5. Step 5: Solve for x
   x = 46,950,567.55/9,774.24
6. Step 6: Final answer
   x = 4,803.50