Finding the Fourth Proportional to 9,784.22, 14,682.47 and 5,632.36

Step by Step Solution

1. Step 1: Write the proportion equation
   9,784.22 : 14,682.47 = 5,632.36 : x
2. Step 2: Convert to fraction form
   9,784.22/14,682.47 = 5,632.36/x
3. Step 3: Cross multiply
   9,784.22x = 14,682.47 × 5,632.36
4. Step 4: Simplify right side
   9,784.22x = 82,696,891.86
5. Step 5: Solve for x
   x = 82,696,891.86/9,784.22
6. Step 6: Final answer
   x = 8,452.07