Finding the Fourth Proportional to 3,856.88, 5,745.52 and 3,617.84

Step by Step Solution

1. Step 1: Write the proportion equation
   3,856.88 : 5,745.52 = 3,617.84 : x
2. Step 2: Convert to fraction form
   3,856.88/5,745.52 = 3,617.84/x
3. Step 3: Cross multiply
   3,856.88x = 5,745.52 × 3,617.84
4. Step 4: Simplify right side
   3,856.88x = 20,786,372.08
5. Step 5: Solve for x
   x = 20,786,372.08/3,856.88
6. Step 6: Final answer
   x = 5,389.43