Finding the Fourth Proportional to 1,853.25, 2,557.52 and 1,025.25

Step by Step Solution

1. Step 1: Write the proportion equation
   1,853.25 : 2,557.52 = 1,025.25 : x
2. Step 2: Convert to fraction form
   1,853.25/2,557.52 = 1,025.25/x
3. Step 3: Cross multiply
   1,853.25x = 2,557.52 × 1,025.25
4. Step 4: Simplify right side
   1,853.25x = 2,622,097.38
5. Step 5: Solve for x
   x = 2,622,097.38/1,853.25
6. Step 6: Final answer
   x = 1,414.86