Finding the Fourth Proportional to 2,552.52, 3,828.50 and 821

Step by Step Solution

1. Step 1: Write the proportion equation
   2,552.52 : 3,828.50 = 821 : x
2. Step 2: Convert to fraction form
   2,552.52/3,828.50 = 821/x
3. Step 3: Cross multiply
   2,552.52x = 3,828.50 × 821
4. Step 4: Simplify right side
   2,552.52x = 3,143,198.50
5. Step 5: Solve for x
   x = 3,143,198.50/2,552.52
6. Step 6: Final answer
   x = 1,231.41