Finding the Fourth Proportional to 9,782.72, 14,680.22 and 5,630.86

Step by Step Solution

1. Step 1: Write the proportion equation
   9,782.72 : 14,680.22 = 5,630.86 : x
2. Step 2: Convert to fraction form
   9,782.72/14,680.22 = 5,630.86/x
3. Step 3: Cross multiply
   9,782.72x = 14,680.22 × 5,630.86
4. Step 4: Simplify right side
   9,782.72x = 82,662,198.73
5. Step 5: Solve for x
   x = 82,662,198.73/9,782.72
6. Step 6: Final answer
   x = 8,449.82