Finding the Fourth Proportional to 2,584.40, 3,878.22 and 1,025.24

Step by Step Solution

1. Step 1: Write the proportion equation
   2,584.40 : 3,878.22 = 1,025.24 : x
2. Step 2: Convert to fraction form
   2,584.40/3,878.22 = 1,025.24/x
3. Step 3: Cross multiply
   2,584.40x = 3,878.22 × 1,025.24
4. Step 4: Simplify right side
   2,584.40x = 3,976,106.27
5. Step 5: Solve for x
   x = 3,976,106.27/2,584.40
6. Step 6: Final answer
   x = 1,538.50