Finding the Fourth Proportional to 3,857.63, 5,757.89 and 3,764.41

Step by Step Solution

1. Step 1: Write the proportion equation
   3,857.63 : 5,757.89 = 3,764.41 : x
2. Step 2: Convert to fraction form
   3,857.63/5,757.89 = 3,764.41/x
3. Step 3: Cross multiply
   3,857.63x = 5,757.89 × 3,764.41
4. Step 4: Simplify right side
   3,857.63x = 21,675,025.48
5. Step 5: Solve for x
   x = 21,675,025.48/3,857.63
6. Step 6: Final answer
   x = 5,618.75