Finding the Fourth Proportional to 1,456.24, 2,009.56 and 826.75

Step by Step Solution

1. Step 1: Write the proportion equation
   1,456.24 : 2,009.56 = 826.75 : x
2. Step 2: Convert to fraction form
   1,456.24/2,009.56 = 826.75/x
3. Step 3: Cross multiply
   1,456.24x = 2,009.56 × 826.75
4. Step 4: Simplify right side
   1,456.24x = 1,661,403.73
5. Step 5: Solve for x
   x = 1,661,403.73/1,456.24
6. Step 6: Final answer
   x = 1,140.89