Finding the Fourth Proportional to 1,049.72, 1,448.31 and 827.96

Step by Step Solution

1. Step 1: Write the proportion equation
   1,049.72 : 1,448.31 = 827.96 : x
2. Step 2: Convert to fraction form
   1,049.72/1,448.31 = 827.96/x
3. Step 3: Cross multiply
   1,049.72x = 1,448.31 × 827.96
4. Step 4: Simplify right side
   1,049.72x = 1,199,142.75
5. Step 5: Solve for x
   x = 1,199,142.75/1,049.72
6. Step 6: Final answer
   x = 1,142.35