Finding the Fourth Proportional to 2,582.31, 3,873.72 and 826.87

Step by Step Solution

1. Step 1: Write the proportion equation
   2,582.31 : 3,873.72 = 826.87 : x
2. Step 2: Convert to fraction form
   2,582.31/3,873.72 = 826.87/x
3. Step 3: Cross multiply
   2,582.31x = 3,873.72 × 826.87
4. Step 4: Simplify right side
   2,582.31x = 3,203,062.86
5. Step 5: Solve for x
   x = 3,203,062.86/2,582.31
6. Step 6: Final answer
   x = 1,240.39