Finding the Fourth Proportional to 2,144.56, 3,214.56 and 827.92

Step by Step Solution

1. Step 1: Write the proportion equation
   2,144.56 : 3,214.56 = 827.92 : x
2. Step 2: Convert to fraction form
   2,144.56/3,214.56 = 827.92/x
3. Step 3: Cross multiply
   2,144.56x = 3,214.56 × 827.92
4. Step 4: Simplify right side
   2,144.56x = 2,661,398.52
5. Step 5: Solve for x
   x = 2,661,398.52/2,144.56
6. Step 6: Final answer
   x = 1,241.00