Finding the Fourth Proportional to 3,680.28, 5,493.60 and 3,409.56

Step by Step Solution

1. Step 1: Write the proportion equation
   3,680.28 : 5,493.60 = 3,409.56 : x
2. Step 2: Convert to fraction form
   3,680.28/5,493.60 = 3,409.56/x
3. Step 3: Cross multiply
   3,680.28x = 5,493.60 × 3,409.56
4. Step 4: Simplify right side
   3,680.28x = 18,730,758.82
5. Step 5: Solve for x
   x = 18,730,758.82/3,680.28
6. Step 6: Final answer
   x = 5,089.49