Finding the Fourth Proportional to 1,456.96, 2,010.57 and 827.48

Step by Step Solution

1. Step 1: Write the proportion equation
   1,456.96 : 2,010.57 = 827.48 : x
2. Step 2: Convert to fraction form
   1,456.96/2,010.57 = 827.48/x
3. Step 3: Cross multiply
   1,456.96x = 2,010.57 × 827.48
4. Step 4: Simplify right side
   1,456.96x = 1,663,706.46
5. Step 5: Solve for x
   x = 1,663,706.46/1,456.96
6. Step 6: Final answer
   x = 1,141.90