Finding the Fourth Proportional to 827.31, 1,243.43 and 806.39

Step by Step Solution

1. Step 1: Write the proportion equation
   827.31 : 1,243.43 = 806.39 : x
2. Step 2: Convert to fraction form
   827.31/1,243.43 = 806.39/x
3. Step 3: Cross multiply
   827.31x = 1,243.43 × 806.39
4. Step 4: Simplify right side
   827.31x = 1,002,679.27
5. Step 5: Solve for x
   x = 1,002,679.27/827.31
6. Step 6: Final answer
   x = 1,211.98