Finding the Fourth Proportional to 1,456.10, 2,009.46 and 826.61

Step by Step Solution

1. Step 1: Write the proportion equation
   1,456.10 : 2,009.46 = 826.61 : x
2. Step 2: Convert to fraction form
   1,456.10/2,009.46 = 826.61/x
3. Step 3: Cross multiply
   1,456.10x = 2,009.46 × 826.61
4. Step 4: Simplify right side
   1,456.10x = 1,661,028.13
5. Step 5: Solve for x
   x = 1,661,028.13/1,456.10
6. Step 6: Final answer
   x = 1,140.74