Finding the Fourth Proportional to 2,582.72, 3,874.33 and 827.28

Step by Step Solution

1. Step 1: Write the proportion equation
   2,582.72 : 3,874.33 = 827.28 : x
2. Step 2: Convert to fraction form
   2,582.72/3,874.33 = 827.28/x
3. Step 3: Cross multiply
   2,582.72x = 3,874.33 × 827.28
4. Step 4: Simplify right side
   2,582.72x = 3,205,136.35
5. Step 5: Solve for x
   x = 3,205,136.35/2,582.72
6. Step 6: Final answer
   x = 1,240.99