Finding the Fourth Proportional to 2,582.20, 3,871.56 and 1,022.38

Step by Step Solution

1. Step 1: Write the proportion equation
   2,582.20 : 3,871.56 = 1,022.38 : x
2. Step 2: Convert to fraction form
   2,582.20/3,871.56 = 1,022.38/x
3. Step 3: Cross multiply
   2,582.20x = 3,871.56 × 1,022.38
4. Step 4: Simplify right side
   2,582.20x = 3,958,205.51
5. Step 5: Solve for x
   x = 3,958,205.51/2,582.20
6. Step 6: Final answer
   x = 1,532.88