Finding the Fourth Proportional to 2,582.43, 3,873.55 and 827.39

Step by Step Solution

1. Step 1: Write the proportion equation
   2,582.43 : 3,873.55 = 827.39 : x
2. Step 2: Convert to fraction form
   2,582.43/3,873.55 = 827.39/x
3. Step 3: Cross multiply
   2,582.43x = 3,873.55 × 827.39
4. Step 4: Simplify right side
   2,582.43x = 3,204,932.48
5. Step 5: Solve for x
   x = 3,204,932.48/2,582.43
6. Step 6: Final answer
   x = 1,241.05