Finding the Fourth Proportional to 2,552.10, 3,827.73 and 820.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,552.10 : 3,827.73 = 820.50 : x
2. Step 2: Convert to fraction form
   2,552.10/3,827.73 = 820.50/x
3. Step 3: Cross multiply
   2,552.10x = 3,827.73 × 820.50
4. Step 4: Simplify right side
   2,552.10x = 3,140,652.47
5. Step 5: Solve for x
   x = 3,140,652.47/2,552.10
6. Step 6: Final answer
   x = 1,230.61