Finding the Fourth Proportional to 3,682.34, 5,491.16 and 3,649.53

Step by Step Solution

1. Step 1: Write the proportion equation
   3,682.34 : 5,491.16 = 3,649.53 : x
2. Step 2: Convert to fraction form
   3,682.34/5,491.16 = 3,649.53/x
3. Step 3: Cross multiply
   3,682.34x = 5,491.16 × 3,649.53
4. Step 4: Simplify right side
   3,682.34x = 20,040,162.28
5. Step 5: Solve for x
   x = 20,040,162.28/3,682.34
6. Step 6: Final answer
   x = 5,442.24