Finding the Fourth Proportional to 3,826.37, 5,774.02 and 3,689.08

Step by Step Solution

1. Step 1: Write the proportion equation
   3,826.37 : 5,774.02 = 3,689.08 : x
2. Step 2: Convert to fraction form
   3,826.37/5,774.02 = 3,689.08/x
3. Step 3: Cross multiply
   3,826.37x = 5,774.02 × 3,689.08
4. Step 4: Simplify right side
   3,826.37x = 21,300,798.04
5. Step 5: Solve for x
   x = 21,300,798.04/3,826.37
6. Step 6: Final answer
   x = 5,566.84