Finding the Fourth Proportional to 2,582.31, 3,873.49 and 1,022.69

Step by Step Solution

1. Step 1: Write the proportion equation
   2,582.31 : 3,873.49 = 1,022.69 : x
2. Step 2: Convert to fraction form
   2,582.31/3,873.49 = 1,022.69/x
3. Step 3: Cross multiply
   2,582.31x = 3,873.49 × 1,022.69
4. Step 4: Simplify right side
   2,582.31x = 3,961,386.62
5. Step 5: Solve for x
   x = 3,961,386.62/2,582.31
6. Step 6: Final answer
   x = 1,534.05