Finding the Fourth Proportional to 3,949.89, 5,896.02 and 3,643.71

Step by Step Solution

1. Step 1: Write the proportion equation
   3,949.89 : 5,896.02 = 3,643.71 : x
2. Step 2: Convert to fraction form
   3,949.89/5,896.02 = 3,643.71/x
3. Step 3: Cross multiply
   3,949.89x = 5,896.02 × 3,643.71
4. Step 4: Simplify right side
   3,949.89x = 21,483,387.03
5. Step 5: Solve for x
   x = 21,483,387.03/3,949.89
6. Step 6: Final answer
   x = 5,438.98