Finding the Fourth Proportional to 1,456.27, 2,009.47 and 826.86

Step by Step Solution

1. Step 1: Write the proportion equation
   1,456.27 : 2,009.47 = 826.86 : x
2. Step 2: Convert to fraction form
   1,456.27/2,009.47 = 826.86/x
3. Step 3: Cross multiply
   1,456.27x = 2,009.47 × 826.86
4. Step 4: Simplify right side
   1,456.27x = 1,661,550.36
5. Step 5: Solve for x
   x = 1,661,550.36/1,456.27
6. Step 6: Final answer
   x = 1,140.96