Finding the Fourth Proportional to 2,002.12, 3,003.60 and 685.99

Step by Step Solution

1. Step 1: Write the proportion equation
   2,002.12 : 3,003.60 = 685.99 : x
2. Step 2: Convert to fraction form
   2,002.12/3,003.60 = 685.99/x
3. Step 3: Cross multiply
   2,002.12x = 3,003.60 × 685.99
4. Step 4: Simplify right side
   2,002.12x = 2,060,439.56
5. Step 5: Solve for x
   x = 2,060,439.56/2,002.12
6. Step 6: Final answer
   x = 1,029.13