Finding the Fourth Proportional to 2,003.27, 3,003.64 and 616.14

Step by Step Solution

1. Step 1: Write the proportion equation
   2,003.27 : 3,003.64 = 616.14 : x
2. Step 2: Convert to fraction form
   2,003.27/3,003.64 = 616.14/x
3. Step 3: Cross multiply
   2,003.27x = 3,003.64 × 616.14
4. Step 4: Simplify right side
   2,003.27x = 1,850,662.75
5. Step 5: Solve for x
   x = 1,850,662.75/2,003.27
6. Step 6: Final answer
   x = 923.82