Finding the Fourth Proportional to 3,877.57, 5,777.83 and 3,689.28

Step by Step Solution

1. Step 1: Write the proportion equation
   3,877.57 : 5,777.83 = 3,689.28 : x
2. Step 2: Convert to fraction form
   3,877.57/5,777.83 = 3,689.28/x
3. Step 3: Cross multiply
   3,877.57x = 5,777.83 × 3,689.28
4. Step 4: Simplify right side
   3,877.57x = 21,316,037.27
5. Step 5: Solve for x
   x = 21,316,037.27/3,877.57
6. Step 6: Final answer
   x = 5,497.27