Finding the Fourth Proportional to 2,551.69, 3,827.17 and 820.09

Step by Step Solution

1. Step 1: Write the proportion equation
   2,551.69 : 3,827.17 = 820.09 : x
2. Step 2: Convert to fraction form
   2,551.69/3,827.17 = 820.09/x
3. Step 3: Cross multiply
   2,551.69x = 3,827.17 × 820.09
4. Step 4: Simplify right side
   2,551.69x = 3,138,623.85
5. Step 5: Solve for x
   x = 3,138,623.85/2,551.69
6. Step 6: Final answer
   x = 1,230.02