Finding the Fourth Proportional to 3,796.11, 5,685.39 and 3,664.80

Step by Step Solution

1. Step 1: Write the proportion equation
   3,796.11 : 5,685.39 = 3,664.80 : x
2. Step 2: Convert to fraction form
   3,796.11/5,685.39 = 3,664.80/x
3. Step 3: Cross multiply
   3,796.11x = 5,685.39 × 3,664.80
4. Step 4: Simplify right side
   3,796.11x = 20,835,817.27
5. Step 5: Solve for x
   x = 20,835,817.27/3,796.11
6. Step 6: Final answer
   x = 5,488.73