Finding the Fourth Proportional to 8,582.41, 12,864.43 and 5,617.27

Step by Step Solution

1. Step 1: Write the proportion equation
   8,582.41 : 12,864.43 = 5,617.27 : x
2. Step 2: Convert to fraction form
   8,582.41/12,864.43 = 5,617.27/x
3. Step 3: Cross multiply
   8,582.41x = 12,864.43 × 5,617.27
4. Step 4: Simplify right side
   8,582.41x = 72,262,976.71
5. Step 5: Solve for x
   x = 72,262,976.71/8,582.41
6. Step 6: Final answer
   x = 8,419.89