Finding the Fourth Proportional to 2,552.37, 3,828.69 and 821.13

Step by Step Solution

1. Step 1: Write the proportion equation
   2,552.37 : 3,828.69 = 821.13 : x
2. Step 2: Convert to fraction form
   2,552.37/3,828.69 = 821.13/x
3. Step 3: Cross multiply
   2,552.37x = 3,828.69 × 821.13
4. Step 4: Simplify right side
   2,552.37x = 3,143,852.22
5. Step 5: Solve for x
   x = 3,143,852.22/2,552.37
6. Step 6: Final answer
   x = 1,231.74