Finding the Fourth Proportional to 2,585.62, 3,878.16 and 1,025.29

Step by Step Solution

1. Step 1: Write the proportion equation
   2,585.62 : 3,878.16 = 1,025.29 : x
2. Step 2: Convert to fraction form
   2,585.62/3,878.16 = 1,025.29/x
3. Step 3: Cross multiply
   2,585.62x = 3,878.16 × 1,025.29
4. Step 4: Simplify right side
   2,585.62x = 3,976,238.67
5. Step 5: Solve for x
   x = 3,976,238.67/2,585.62
6. Step 6: Final answer
   x = 1,537.83