Finding the Fourth Proportional to 9,786.72, 14,675.92 and 3,209.28

Step by Step Solution

1. Step 1: Write the proportion equation
   9,786.72 : 14,675.92 = 3,209.28 : x
2. Step 2: Convert to fraction form
   9,786.72/14,675.92 = 3,209.28/x
3. Step 3: Cross multiply
   9,786.72x = 14,675.92 × 3,209.28
4. Step 4: Simplify right side
   9,786.72x = 47,099,136.54
5. Step 5: Solve for x
   x = 47,099,136.54/9,786.72
6. Step 6: Final answer
   x = 4,812.56