Finding the Fourth Proportional to 9,782.76, 14,675.94 and 3,209.28

Step by Step Solution

1. Step 1: Write the proportion equation
   9,782.76 : 14,675.94 = 3,209.28 : x
2. Step 2: Convert to fraction form
   9,782.76/14,675.94 = 3,209.28/x
3. Step 3: Cross multiply
   9,782.76x = 14,675.94 × 3,209.28
4. Step 4: Simplify right side
   9,782.76x = 47,099,200.72
5. Step 5: Solve for x
   x = 47,099,200.72/9,782.76
6. Step 6: Final answer
   x = 4,814.51