Finding the Fourth Proportional to 2,002.11, 3,003.56 and 686.26

Step by Step Solution

1. Step 1: Write the proportion equation
   2,002.11 : 3,003.56 = 686.26 : x
2. Step 2: Convert to fraction form
   2,002.11/3,003.56 = 686.26/x
3. Step 3: Cross multiply
   2,002.11x = 3,003.56 × 686.26
4. Step 4: Simplify right side
   2,002.11x = 2,061,223.09
5. Step 5: Solve for x
   x = 2,061,223.09/2,002.11
6. Step 6: Final answer
   x = 1,029.53