Finding the Fourth Proportional to 2,585.25, 3,878.42 and 1,046.25

Step by Step Solution

1. Step 1: Write the proportion equation
   2,585.25 : 3,878.42 = 1,046.25 : x
2. Step 2: Convert to fraction form
   2,585.25/3,878.42 = 1,046.25/x
3. Step 3: Cross multiply
   2,585.25x = 3,878.42 × 1,046.25
4. Step 4: Simplify right side
   2,585.25x = 4,057,791.69
5. Step 5: Solve for x
   x = 4,057,791.69/2,585.25
6. Step 6: Final answer
   x = 1,569.59