Finding the Fourth Proportional to 2,552.69, 3,828.67 and 821.09

Step by Step Solution

1. Step 1: Write the proportion equation
   2,552.69 : 3,828.67 = 821.09 : x
2. Step 2: Convert to fraction form
   2,552.69/3,828.67 = 821.09/x
3. Step 3: Cross multiply
   2,552.69x = 3,828.67 × 821.09
4. Step 4: Simplify right side
   2,552.69x = 3,143,682.65
5. Step 5: Solve for x
   x = 3,143,682.65/2,552.69
6. Step 6: Final answer
   x = 1,231.52