Finding the Fourth Proportional to 3,906.24, 5,845.38 and 3,645.55

Step by Step Solution

1. Step 1: Write the proportion equation
   3,906.24 : 5,845.38 = 3,645.55 : x
2. Step 2: Convert to fraction form
   3,906.24/5,845.38 = 3,645.55/x
3. Step 3: Cross multiply
   3,906.24x = 5,845.38 × 3,645.55
4. Step 4: Simplify right side
   3,906.24x = 21,309,625.06
5. Step 5: Solve for x
   x = 21,309,625.06/3,906.24
6. Step 6: Final answer
   x = 5,455.28