Finding the Fourth Proportional to 1,456.16, 2,009.42 and 826.67

Step by Step Solution

1. Step 1: Write the proportion equation
   1,456.16 : 2,009.42 = 826.67 : x
2. Step 2: Convert to fraction form
   1,456.16/2,009.42 = 826.67/x
3. Step 3: Cross multiply
   1,456.16x = 2,009.42 × 826.67
4. Step 4: Simplify right side
   1,456.16x = 1,661,113.05
5. Step 5: Solve for x
   x = 1,661,113.05/1,456.16
6. Step 6: Final answer
   x = 1,140.75