Finding the Fourth Proportional to 1,456.72, 2,010.32 and 827.27

Step by Step Solution

1. Step 1: Write the proportion equation
   1,456.72 : 2,010.32 = 827.27 : x
2. Step 2: Convert to fraction form
   1,456.72/2,010.32 = 827.27/x
3. Step 3: Cross multiply
   1,456.72x = 2,010.32 × 827.27
4. Step 4: Simplify right side
   1,456.72x = 1,663,077.43
5. Step 5: Solve for x
   x = 1,663,077.43/1,456.72
6. Step 6: Final answer
   x = 1,141.66