Finding the Fourth Proportional to 2,003.09, 3,004.71 and 686.90

Step by Step Solution

1. Step 1: Write the proportion equation
   2,003.09 : 3,004.71 = 686.90 : x
2. Step 2: Convert to fraction form
   2,003.09/3,004.71 = 686.90/x
3. Step 3: Cross multiply
   2,003.09x = 3,004.71 × 686.90
4. Step 4: Simplify right side
   2,003.09x = 2,063,935.30
5. Step 5: Solve for x
   x = 2,063,935.30/2,003.09
6. Step 6: Final answer
   x = 1,030.38