Finding the Fourth Proportional to 3,826.94, 5,774.87 and 3,689.64

Step by Step Solution

1. Step 1: Write the proportion equation
   3,826.94 : 5,774.87 = 3,689.64 : x
2. Step 2: Convert to fraction form
   3,826.94/5,774.87 = 3,689.64/x
3. Step 3: Cross multiply
   3,826.94x = 5,774.87 × 3,689.64
4. Step 4: Simplify right side
   3,826.94x = 21,307,179.82
5. Step 5: Solve for x
   x = 21,307,179.82/3,826.94
6. Step 6: Final answer
   x = 5,567.69