Finding the Fourth Proportional to 3,698.15, 5,103.50 and 2,105.06

Step by Step Solution

1. Step 1: Write the proportion equation
   3,698.15 : 5,103.50 = 2,105.06 : x
2. Step 2: Convert to fraction form
   3,698.15/5,103.50 = 2,105.06/x
3. Step 3: Cross multiply
   3,698.15x = 5,103.50 × 2,105.06
4. Step 4: Simplify right side
   3,698.15x = 10,743,137.67
5. Step 5: Solve for x
   x = 10,743,137.67/3,698.15
6. Step 6: Final answer
   x = 2,905.01