Finding the Fourth Proportional to 1,822.78, 2,514.78 and 1,025.92

Step by Step Solution

1. Step 1: Write the proportion equation
   1,822.78 : 2,514.78 = 1,025.92 : x
2. Step 2: Convert to fraction form
   1,822.78/2,514.78 = 1,025.92/x
3. Step 3: Cross multiply
   1,822.78x = 2,514.78 × 1,025.92
4. Step 4: Simplify right side
   1,822.78x = 2,579,963.10
5. Step 5: Solve for x
   x = 2,579,963.10/1,822.78
6. Step 6: Final answer
   x = 1,415.40