Finding the Fourth Proportional to 1,451.78, 2,002.98 and 822.24

Step by Step Solution

1. Step 1: Write the proportion equation
   1,451.78 : 2,002.98 = 822.24 : x
2. Step 2: Convert to fraction form
   1,451.78/2,002.98 = 822.24/x
3. Step 3: Cross multiply
   1,451.78x = 2,002.98 × 822.24
4. Step 4: Simplify right side
   1,451.78x = 1,646,930.28
5. Step 5: Solve for x
   x = 1,646,930.28/1,451.78
6. Step 6: Final answer
   x = 1,134.42