Finding the Fourth Proportional to 2,552.24, 3,828.72 and 821.36

Step by Step Solution

1. Step 1: Write the proportion equation
   2,552.24 : 3,828.72 = 821.36 : x
2. Step 2: Convert to fraction form
   2,552.24/3,828.72 = 821.36/x
3. Step 3: Cross multiply
   2,552.24x = 3,828.72 × 821.36
4. Step 4: Simplify right side
   2,552.24x = 3,144,757.46
5. Step 5: Solve for x
   x = 3,144,757.46/2,552.24
6. Step 6: Final answer
   x = 1,232.16