Finding the Fourth Proportional to 3,688.56, 5,528.16 and 3,649.50

Step by Step Solution

1. Step 1: Write the proportion equation
   3,688.56 : 5,528.16 = 3,649.50 : x
2. Step 2: Convert to fraction form
   3,688.56/5,528.16 = 3,649.50/x
3. Step 3: Cross multiply
   3,688.56x = 5,528.16 × 3,649.50
4. Step 4: Simplify right side
   3,688.56x = 20,175,019.92
5. Step 5: Solve for x
   x = 20,175,019.92/3,688.56
6. Step 6: Final answer
   x = 5,469.62