Finding the Fourth Proportional to 3,836.37, 5,761.47 and 3,527.64

Step by Step Solution

1. Step 1: Write the proportion equation
   3,836.37 : 5,761.47 = 3,527.64 : x
2. Step 2: Convert to fraction form
   3,836.37/5,761.47 = 3,527.64/x
3. Step 3: Cross multiply
   3,836.37x = 5,761.47 × 3,527.64
4. Step 4: Simplify right side
   3,836.37x = 20,324,392.03
5. Step 5: Solve for x
   x = 20,324,392.03/3,836.37
6. Step 6: Final answer
   x = 5,297.82