Finding the Fourth Proportional to 2,002.51, 3,004.18 and 686.36

Step by Step Solution

1. Step 1: Write the proportion equation
   2,002.51 : 3,004.18 = 686.36 : x
2. Step 2: Convert to fraction form
   2,002.51/3,004.18 = 686.36/x
3. Step 3: Cross multiply
   2,002.51x = 3,004.18 × 686.36
4. Step 4: Simplify right side
   2,002.51x = 2,061,948.98
5. Step 5: Solve for x
   x = 2,061,948.98/2,002.51
6. Step 6: Final answer
   x = 1,029.68