Finding the Fourth Proportional to 1,456.29, 2,009.94 and 826.86

Step by Step Solution

1. Step 1: Write the proportion equation
   1,456.29 : 2,009.94 = 826.86 : x
2. Step 2: Convert to fraction form
   1,456.29/2,009.94 = 826.86/x
3. Step 3: Cross multiply
   1,456.29x = 2,009.94 × 826.86
4. Step 4: Simplify right side
   1,456.29x = 1,661,938.99
5. Step 5: Solve for x
   x = 1,661,938.99/1,456.29
6. Step 6: Final answer
   x = 1,141.21