Finding the Fourth Proportional to 1,456.78, 2,010.40 and 827.33

Step by Step Solution

1. Step 1: Write the proportion equation
   1,456.78 : 2,010.40 = 827.33 : x
2. Step 2: Convert to fraction form
   1,456.78/2,010.40 = 827.33/x
3. Step 3: Cross multiply
   1,456.78x = 2,010.40 × 827.33
4. Step 4: Simplify right side
   1,456.78x = 1,663,264.23
5. Step 5: Solve for x
   x = 1,663,264.23/1,456.78
6. Step 6: Final answer
   x = 1,141.74