Finding the Fourth Proportional to 2,003.22, 3,003.80 and 686.76

Step by Step Solution

1. Step 1: Write the proportion equation
   2,003.22 : 3,003.80 = 686.76 : x
2. Step 2: Convert to fraction form
   2,003.22/3,003.80 = 686.76/x
3. Step 3: Cross multiply
   2,003.22x = 3,003.80 × 686.76
4. Step 4: Simplify right side
   2,003.22x = 2,062,886.25
5. Step 5: Solve for x
   x = 2,062,886.25/2,003.22
6. Step 6: Final answer
   x = 1,029.79