Finding the Fourth Proportional to 2,552.72, 3,829.20 and 822.56

Step by Step Solution

1. Step 1: Write the proportion equation
   2,552.72 : 3,829.20 = 822.56 : x
2. Step 2: Convert to fraction form
   2,552.72/3,829.20 = 822.56/x
3. Step 3: Cross multiply
   2,552.72x = 3,829.20 × 822.56
4. Step 4: Simplify right side
   2,552.72x = 3,149,746.75
5. Step 5: Solve for x
   x = 3,149,746.75/2,552.72
6. Step 6: Final answer
   x = 1,233.88