Finding the Fourth Proportional to 2,552.12, 3,828.54 and 820.34

Step by Step Solution

1. Step 1: Write the proportion equation
   2,552.12 : 3,828.54 = 820.34 : x
2. Step 2: Convert to fraction form
   2,552.12/3,828.54 = 820.34/x
3. Step 3: Cross multiply
   2,552.12x = 3,828.54 × 820.34
4. Step 4: Simplify right side
   2,552.12x = 3,140,704.50
5. Step 5: Solve for x
   x = 3,140,704.50/2,552.12
6. Step 6: Final answer
   x = 1,230.63