Finding the Fourth Proportional to 2,550.17, 3,825.78 and 820.01

Step by Step Solution

1. Step 1: Write the proportion equation
   2,550.17 : 3,825.78 = 820.01 : x
2. Step 2: Convert to fraction form
   2,550.17/3,825.78 = 820.01/x
3. Step 3: Cross multiply
   2,550.17x = 3,825.78 × 820.01
4. Step 4: Simplify right side
   2,550.17x = 3,137,158.73
5. Step 5: Solve for x
   x = 3,137,158.73/2,550.17
6. Step 6: Final answer
   x = 1,230.18