Finding the Fourth Proportional to 3,665.60, 5,497.55 and 2,185.24

Step by Step Solution

1. Step 1: Write the proportion equation
   3,665.60 : 5,497.55 = 2,185.24 : x
2. Step 2: Convert to fraction form
   3,665.60/5,497.55 = 2,185.24/x
3. Step 3: Cross multiply
   3,665.60x = 5,497.55 × 2,185.24
4. Step 4: Simplify right side
   3,665.60x = 12,013,456.33
5. Step 5: Solve for x
   x = 12,013,456.33/3,665.60
6. Step 6: Final answer
   x = 3,277.35