Finding the Fourth Proportional to 1,456.02, 2,009.54 and 826.58

Step by Step Solution

1. Step 1: Write the proportion equation
   1,456.02 : 2,009.54 = 826.58 : x
2. Step 2: Convert to fraction form
   1,456.02/2,009.54 = 826.58/x
3. Step 3: Cross multiply
   1,456.02x = 2,009.54 × 826.58
4. Step 4: Simplify right side
   1,456.02x = 1,661,045.57
5. Step 5: Solve for x
   x = 1,661,045.57/1,456.02
6. Step 6: Final answer
   x = 1,140.81