Finding the Fourth Proportional to 1,822.08, 2,514.24 and 1,025.30

Step by Step Solution

1. Step 1: Write the proportion equation
   1,822.08 : 2,514.24 = 1,025.30 : x
2. Step 2: Convert to fraction form
   1,822.08/2,514.24 = 1,025.30/x
3. Step 3: Cross multiply
   1,822.08x = 2,514.24 × 1,025.30
4. Step 4: Simplify right side
   1,822.08x = 2,577,856.56
5. Step 5: Solve for x
   x = 2,577,856.56/1,822.08
6. Step 6: Final answer
   x = 1,414.79