Finding the Fourth Proportional to 1,456.30, 2,009.52 and 826.60

Step by Step Solution

1. Step 1: Write the proportion equation
   1,456.30 : 2,009.52 = 826.60 : x
2. Step 2: Convert to fraction form
   1,456.30/2,009.52 = 826.60/x
3. Step 3: Cross multiply
   1,456.30x = 2,009.52 × 826.60
4. Step 4: Simplify right side
   1,456.30x = 1,661,069.23
5. Step 5: Solve for x
   x = 1,661,069.23/1,456.30
6. Step 6: Final answer
   x = 1,140.61