Finding the Fourth Proportional to 2,002.37, 3,003.73 and 686.07

Step by Step Solution

1. Step 1: Write the proportion equation
   2,002.37 : 3,003.73 = 686.07 : x
2. Step 2: Convert to fraction form
   2,002.37/3,003.73 = 686.07/x
3. Step 3: Cross multiply
   2,002.37x = 3,003.73 × 686.07
4. Step 4: Simplify right side
   2,002.37x = 2,060,769.04
5. Step 5: Solve for x
   x = 2,060,769.04/2,002.37
6. Step 6: Final answer
   x = 1,029.16