Finding the Fourth Proportional to 1,456.29, 2,009.69 and 826.82

Step by Step Solution

1. Step 1: Write the proportion equation
   1,456.29 : 2,009.69 = 826.82 : x
2. Step 2: Convert to fraction form
   1,456.29/2,009.69 = 826.82/x
3. Step 3: Cross multiply
   1,456.29x = 2,009.69 × 826.82
4. Step 4: Simplify right side
   1,456.29x = 1,661,637.70
5. Step 5: Solve for x
   x = 1,661,637.70/1,456.29
6. Step 6: Final answer
   x = 1,141.01