Finding the Fourth Proportional to 3,855.30, 5,789.46 and 3,658.02

Step by Step Solution

1. Step 1: Write the proportion equation
   3,855.30 : 5,789.46 = 3,658.02 : x
2. Step 2: Convert to fraction form
   3,855.30/5,789.46 = 3,658.02/x
3. Step 3: Cross multiply
   3,855.30x = 5,789.46 × 3,658.02
4. Step 4: Simplify right side
   3,855.30x = 21,177,960.47
5. Step 5: Solve for x
   x = 21,177,960.47/3,855.30
6. Step 6: Final answer
   x = 5,493.21