Finding the Fourth Proportional to 2,002.60, 3,004.16 and 686.62

Step by Step Solution

1. Step 1: Write the proportion equation
   2,002.60 : 3,004.16 = 686.62 : x
2. Step 2: Convert to fraction form
   2,002.60/3,004.16 = 686.62/x
3. Step 3: Cross multiply
   2,002.60x = 3,004.16 × 686.62
4. Step 4: Simplify right side
   2,002.60x = 2,062,716.34
5. Step 5: Solve for x
   x = 2,062,716.34/2,002.60
6. Step 6: Final answer
   x = 1,030.02