Finding the Fourth Proportional to 2,144.24, 3,215.70 and 827.89

Step by Step Solution

1. Step 1: Write the proportion equation
   2,144.24 : 3,215.70 = 827.89 : x
2. Step 2: Convert to fraction form
   2,144.24/3,215.70 = 827.89/x
3. Step 3: Cross multiply
   2,144.24x = 3,215.70 × 827.89
4. Step 4: Simplify right side
   2,144.24x = 2,662,237.83
5. Step 5: Solve for x
   x = 2,662,237.83/2,144.24
6. Step 6: Final answer
   x = 1,241.58