Finding the Fourth Proportional to 3,946.56, 5,891.10 and 3,653.76

Step by Step Solution

1. Step 1: Write the proportion equation
   3,946.56 : 5,891.10 = 3,653.76 : x
2. Step 2: Convert to fraction form
   3,946.56/5,891.10 = 3,653.76/x
3. Step 3: Cross multiply
   3,946.56x = 5,891.10 × 3,653.76
4. Step 4: Simplify right side
   3,946.56x = 21,524,665.54
5. Step 5: Solve for x
   x = 21,524,665.54/3,946.56
6. Step 6: Final answer
   x = 5,454.03