Finding the Fourth Proportional to 2,002.14, 3,002.79 and 685.76

Step by Step Solution

1. Step 1: Write the proportion equation
   2,002.14 : 3,002.79 = 685.76 : x
2. Step 2: Convert to fraction form
   2,002.14/3,002.79 = 685.76/x
3. Step 3: Cross multiply
   2,002.14x = 3,002.79 × 685.76
4. Step 4: Simplify right side
   2,002.14x = 2,059,178.26
5. Step 5: Solve for x
   x = 2,059,178.26/2,002.14
6. Step 6: Final answer
   x = 1,028.49