Finding the Fourth Proportional to 3,896.37, 5,853.60 and 3,686.58

Step by Step Solution

1. Step 1: Write the proportion equation
   3,896.37 : 5,853.60 = 3,686.58 : x
2. Step 2: Convert to fraction form
   3,896.37/5,853.60 = 3,686.58/x
3. Step 3: Cross multiply
   3,896.37x = 5,853.60 × 3,686.58
4. Step 4: Simplify right side
   3,896.37x = 21,579,764.69
5. Step 5: Solve for x
   x = 21,579,764.69/3,896.37
6. Step 6: Final answer
   x = 5,538.43