Finding the Fourth Proportional to 1,351.72, 1,865.46 and 827.68

Step by Step Solution

1. Step 1: Write the proportion equation
   1,351.72 : 1,865.46 = 827.68 : x
2. Step 2: Convert to fraction form
   1,351.72/1,865.46 = 827.68/x
3. Step 3: Cross multiply
   1,351.72x = 1,865.46 × 827.68
4. Step 4: Simplify right side
   1,351.72x = 1,544,003.93
5. Step 5: Solve for x
   x = 1,544,003.93/1,351.72
6. Step 6: Final answer
   x = 1,142.25