Finding the Fourth Proportional to 1,443.37, 2,165.42 and 827.77

Step by Step Solution

1. Step 1: Write the proportion equation
   1,443.37 : 2,165.42 = 827.77 : x
2. Step 2: Convert to fraction form
   1,443.37/2,165.42 = 827.77/x
3. Step 3: Cross multiply
   1,443.37x = 2,165.42 × 827.77
4. Step 4: Simplify right side
   1,443.37x = 1,792,469.71
5. Step 5: Solve for x
   x = 1,792,469.71/1,443.37
6. Step 6: Final answer
   x = 1,241.86