Finding the Fourth Proportional to 1,456.41, 2,009.87 and 826.89

Step by Step Solution

1. Step 1: Write the proportion equation
   1,456.41 : 2,009.87 = 826.89 : x
2. Step 2: Convert to fraction form
   1,456.41/2,009.87 = 826.89/x
3. Step 3: Cross multiply
   1,456.41x = 2,009.87 × 826.89
4. Step 4: Simplify right side
   1,456.41x = 1,661,937.27
5. Step 5: Solve for x
   x = 1,661,937.27/1,456.41
6. Step 6: Final answer
   x = 1,141.12