Finding the Fourth Proportional to 2,582.31, 3,870.81 and 1,021.68

Step by Step Solution

1. Step 1: Write the proportion equation
   2,582.31 : 3,870.81 = 1,021.68 : x
2. Step 2: Convert to fraction form
   2,582.31/3,870.81 = 1,021.68/x
3. Step 3: Cross multiply
   2,582.31x = 3,870.81 × 1,021.68
4. Step 4: Simplify right side
   2,582.31x = 3,954,729.16
5. Step 5: Solve for x
   x = 3,954,729.16/2,582.31
6. Step 6: Final answer
   x = 1,531.47