Finding the Fourth Proportional to 2,002.82, 3,002.05 and 685.36

Step by Step Solution

1. Step 1: Write the proportion equation
   2,002.82 : 3,002.05 = 685.36 : x
2. Step 2: Convert to fraction form
   2,002.82/3,002.05 = 685.36/x
3. Step 3: Cross multiply
   2,002.82x = 3,002.05 × 685.36
4. Step 4: Simplify right side
   2,002.82x = 2,057,484.99
5. Step 5: Solve for x
   x = 2,057,484.99/2,002.82
6. Step 6: Final answer
   x = 1,027.29