Finding the Fourth Proportional to 2,002.15, 3,003.53 and 685.77

Step by Step Solution

1. Step 1: Write the proportion equation
   2,002.15 : 3,003.53 = 685.77 : x
2. Step 2: Convert to fraction form
   2,002.15/3,003.53 = 685.77/x
3. Step 3: Cross multiply
   2,002.15x = 3,003.53 × 685.77
4. Step 4: Simplify right side
   2,002.15x = 2,059,719.93
5. Step 5: Solve for x
   x = 2,059,719.93/2,002.15
6. Step 6: Final answer
   x = 1,028.75