Finding the Fourth Proportional to 9,782.88, 14,661.36 and 5,622.72

Step by Step Solution

1. Step 1: Write the proportion equation
   9,782.88 : 14,661.36 = 5,622.72 : x
2. Step 2: Convert to fraction form
   9,782.88/14,661.36 = 5,622.72/x
3. Step 3: Cross multiply
   9,782.88x = 14,661.36 × 5,622.72
4. Step 4: Simplify right side
   9,782.88x = 82,436,722.10
5. Step 5: Solve for x
   x = 82,436,722.10/9,782.88
6. Step 6: Final answer
   x = 8,426.63