Finding the Fourth Proportional to 1,469.82, 2,205.33 and 689.25

Step by Step Solution

1. Step 1: Write the proportion equation
   1,469.82 : 2,205.33 = 689.25 : x
2. Step 2: Convert to fraction form
   1,469.82/2,205.33 = 689.25/x
3. Step 3: Cross multiply
   1,469.82x = 2,205.33 × 689.25
4. Step 4: Simplify right side
   1,469.82x = 1,520,023.70
5. Step 5: Solve for x
   x = 1,520,023.70/1,469.82
6. Step 6: Final answer
   x = 1,034.16