Finding the Fourth Proportional to 1,822.10, 2,513.87 and 1,025.30

Step by Step Solution

1. Step 1: Write the proportion equation
   1,822.10 : 2,513.87 = 1,025.30 : x
2. Step 2: Convert to fraction form
   1,822.10/2,513.87 = 1,025.30/x
3. Step 3: Cross multiply
   1,822.10x = 2,513.87 × 1,025.30
4. Step 4: Simplify right side
   1,822.10x = 2,577,470.91
5. Step 5: Solve for x
   x = 2,577,470.91/1,822.10
6. Step 6: Final answer
   x = 1,414.56