Finding the Fourth Proportional to 2,552.28, 3,827.61 and 820.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,552.28 : 3,827.61 = 820.50 : x
2. Step 2: Convert to fraction form
   2,552.28/3,827.61 = 820.50/x
3. Step 3: Cross multiply
   2,552.28x = 3,827.61 × 820.50
4. Step 4: Simplify right side
   2,552.28x = 3,140,554.01
5. Step 5: Solve for x
   x = 3,140,554.01/2,552.28
6. Step 6: Final answer
   x = 1,230.49