Finding the Fourth Proportional to 3,849.27, 5,743.71 and 3,614.19

Step by Step Solution

1. Step 1: Write the proportion equation
   3,849.27 : 5,743.71 = 3,614.19 : x
2. Step 2: Convert to fraction form
   3,849.27/5,743.71 = 3,614.19/x
3. Step 3: Cross multiply
   3,849.27x = 5,743.71 × 3,614.19
4. Step 4: Simplify right side
   3,849.27x = 20,758,859.24
5. Step 5: Solve for x
   x = 20,758,859.24/3,849.27
6. Step 6: Final answer
   x = 5,392.93