Finding the Fourth Proportional to 3,816.82, 5,727.66 and 3,785.57

Step by Step Solution

1. Step 1: Write the proportion equation
   3,816.82 : 5,727.66 = 3,785.57 : x
2. Step 2: Convert to fraction form
   3,816.82/5,727.66 = 3,785.57/x
3. Step 3: Cross multiply
   3,816.82x = 5,727.66 × 3,785.57
4. Step 4: Simplify right side
   3,816.82x = 21,682,410.30
5. Step 5: Solve for x
   x = 21,682,410.30/3,816.82
6. Step 6: Final answer
   x = 5,680.76