Finding the Fourth Proportional to 2,553.98, 3,831.60 and 822.56

Step by Step Solution

1. Step 1: Write the proportion equation
   2,553.98 : 3,831.60 = 822.56 : x
2. Step 2: Convert to fraction form
   2,553.98/3,831.60 = 822.56/x
3. Step 3: Cross multiply
   2,553.98x = 3,831.60 × 822.56
4. Step 4: Simplify right side
   2,553.98x = 3,151,720.90
5. Step 5: Solve for x
   x = 3,151,720.90/2,553.98
6. Step 6: Final answer
   x = 1,234.04