Finding the Fourth Proportional to 1,822.18, 2,514.09 and 1,123.78

Step by Step Solution

1. Step 1: Write the proportion equation
   1,822.18 : 2,514.09 = 1,123.78 : x
2. Step 2: Convert to fraction form
   1,822.18/2,514.09 = 1,123.78/x
3. Step 3: Cross multiply
   1,822.18x = 2,514.09 × 1,123.78
4. Step 4: Simplify right side
   1,822.18x = 2,825,284.06
5. Step 5: Solve for x
   x = 2,825,284.06/1,822.18
6. Step 6: Final answer
   x = 1,550.50