Finding the Fourth Proportional to 3,843.38, 5,771.98 and 3,534.64

Step by Step Solution

1. Step 1: Write the proportion equation
   3,843.38 : 5,771.98 = 3,534.64 : x
2. Step 2: Convert to fraction form
   3,843.38/5,771.98 = 3,534.64/x
3. Step 3: Cross multiply
   3,843.38x = 5,771.98 × 3,534.64
4. Step 4: Simplify right side
   3,843.38x = 20,401,871.39
5. Step 5: Solve for x
   x = 20,401,871.39/3,843.38
6. Step 6: Final answer
   x = 5,308.31