Finding the Fourth Proportional to 3,883.65, 5,789.50 and 3,823.71

Step by Step Solution

1. Step 1: Write the proportion equation
   3,883.65 : 5,789.50 = 3,823.71 : x
2. Step 2: Convert to fraction form
   3,883.65/5,789.50 = 3,823.71/x
3. Step 3: Cross multiply
   3,883.65x = 5,789.50 × 3,823.71
4. Step 4: Simplify right side
   3,883.65x = 22,137,369.05
5. Step 5: Solve for x
   x = 22,137,369.05/3,883.65
6. Step 6: Final answer
   x = 5,700.15