Finding the Fourth Proportional to 1,452.15, 2,004.12 and 822.78

Step by Step Solution

1. Step 1: Write the proportion equation
   1,452.15 : 2,004.12 = 822.78 : x
2. Step 2: Convert to fraction form
   1,452.15/2,004.12 = 822.78/x
3. Step 3: Cross multiply
   1,452.15x = 2,004.12 × 822.78
4. Step 4: Simplify right side
   1,452.15x = 1,648,949.85
5. Step 5: Solve for x
   x = 1,648,949.85/1,452.15
6. Step 6: Final answer
   x = 1,135.52