Finding the Fourth Proportional to 3,851.64, 5,747.23 and 3,616.54

Step by Step Solution

1. Step 1: Write the proportion equation
   3,851.64 : 5,747.23 = 3,616.54 : x
2. Step 2: Convert to fraction form
   3,851.64/5,747.23 = 3,616.54/x
3. Step 3: Cross multiply
   3,851.64x = 5,747.23 × 3,616.54
4. Step 4: Simplify right side
   3,851.64x = 20,785,087.18
5. Step 5: Solve for x
   x = 20,785,087.18/3,851.64
6. Step 6: Final answer
   x = 5,396.43