Finding the Fourth Proportional to 3,846.52, 5,741 and 3,538.72

Step by Step Solution

1. Step 1: Write the proportion equation
   3,846.52 : 5,741 = 3,538.72 : x
2. Step 2: Convert to fraction form
   3,846.52/5,741 = 3,538.72/x
3. Step 3: Cross multiply
   3,846.52x = 5,741 × 3,538.72
4. Step 4: Simplify right side
   3,846.52x = 20,315,791.52
5. Step 5: Solve for x
   x = 20,315,791.52/3,846.52
6. Step 6: Final answer
   x = 5,281.60