Finding the Fourth Proportional to 2,582.96, 3,871.76 and 1,020.83

Step by Step Solution

1. Step 1: Write the proportion equation
   2,582.96 : 3,871.76 = 1,020.83 : x
2. Step 2: Convert to fraction form
   2,582.96/3,871.76 = 1,020.83/x
3. Step 3: Cross multiply
   2,582.96x = 3,871.76 × 1,020.83
4. Step 4: Simplify right side
   2,582.96x = 3,952,384.30
5. Step 5: Solve for x
   x = 3,952,384.30/2,582.96
6. Step 6: Final answer
   x = 1,530.18