Finding the Fourth Proportional to 2,582.28, 3,874.03 and 1,022.83

Step by Step Solution

1. Step 1: Write the proportion equation
   2,582.28 : 3,874.03 = 1,022.83 : x
2. Step 2: Convert to fraction form
   2,582.28/3,874.03 = 1,022.83/x
3. Step 3: Cross multiply
   2,582.28x = 3,874.03 × 1,022.83
4. Step 4: Simplify right side
   2,582.28x = 3,962,461.86
5. Step 5: Solve for x
   x = 3,962,461.86/2,582.28
6. Step 6: Final answer
   x = 1,534.48