Finding the Fourth Proportional to 3,694.10, 5,638.37 and 3,694.10

Step by Step Solution

1. Step 1: Write the proportion equation
   3,694.10 : 5,638.37 = 3,694.10 : x
2. Step 2: Convert to fraction form
   3,694.10/5,638.37 = 3,694.10/x
3. Step 3: Cross multiply
   3,694.10x = 5,638.37 × 3,694.10
4. Step 4: Simplify right side
   3,694.10x = 20,828,684.15
5. Step 5: Solve for x
   x = 20,828,684.15/3,694.10
6. Step 6: Final answer
   x = 5,638.37