Finding the Fourth Proportional to 2,582.57, 3,874.13 and 827.15

Step by Step Solution

1. Step 1: Write the proportion equation
   2,582.57 : 3,874.13 = 827.15 : x
2. Step 2: Convert to fraction form
   2,582.57/3,874.13 = 827.15/x
3. Step 3: Cross multiply
   2,582.57x = 3,874.13 × 827.15
4. Step 4: Simplify right side
   2,582.57x = 3,204,498.38
5. Step 5: Solve for x
   x = 3,204,498.38/2,582.57
6. Step 6: Final answer
   x = 1,240.82