Finding the Fourth Proportional to 1,752.78, 2,627.69 and 827.83

Step by Step Solution

1. Step 1: Write the proportion equation
   1,752.78 : 2,627.69 = 827.83 : x
2. Step 2: Convert to fraction form
   1,752.78/2,627.69 = 827.83/x
3. Step 3: Cross multiply
   1,752.78x = 2,627.69 × 827.83
4. Step 4: Simplify right side
   1,752.78x = 2,175,269.90
5. Step 5: Solve for x
   x = 2,175,269.90/1,752.78
6. Step 6: Final answer
   x = 1,241.04