Finding the Fourth Proportional to 2,582.37, 3,872.17 and 1,022.31

Step by Step Solution

1. Step 1: Write the proportion equation
   2,582.37 : 3,872.17 = 1,022.31 : x
2. Step 2: Convert to fraction form
   2,582.37/3,872.17 = 1,022.31/x
3. Step 3: Cross multiply
   2,582.37x = 3,872.17 × 1,022.31
4. Step 4: Simplify right side
   2,582.37x = 3,958,558.11
5. Step 5: Solve for x
   x = 3,958,558.11/2,582.37
6. Step 6: Final answer
   x = 1,532.92