Finding the Fourth Proportional to 2,002.37, 3,003.80 and 686.36

Step by Step Solution

1. Step 1: Write the proportion equation
   2,002.37 : 3,003.80 = 686.36 : x
2. Step 2: Convert to fraction form
   2,002.37/3,003.80 = 686.36/x
3. Step 3: Cross multiply
   2,002.37x = 3,003.80 × 686.36
4. Step 4: Simplify right side
   2,002.37x = 2,061,692.25
5. Step 5: Solve for x
   x = 2,061,692.25/2,002.37
6. Step 6: Final answer
   x = 1,029.63