Finding the Fourth Proportional to 1,456.09, 2,009.36 and 826.67

Step by Step Solution

1. Step 1: Write the proportion equation
   1,456.09 : 2,009.36 = 826.67 : x
2. Step 2: Convert to fraction form
   1,456.09/2,009.36 = 826.67/x
3. Step 3: Cross multiply
   1,456.09x = 2,009.36 × 826.67
4. Step 4: Simplify right side
   1,456.09x = 1,661,080.59
5. Step 5: Solve for x
   x = 1,661,080.59/1,456.09
6. Step 6: Final answer
   x = 1,140.79