Finding the Fourth Proportional to 3,697.72, 5,102.78 and 2,019.14

Step by Step Solution

1. Step 1: Write the proportion equation
   3,697.72 : 5,102.78 = 2,019.14 : x
2. Step 2: Convert to fraction form
   3,697.72/5,102.78 = 2,019.14/x
3. Step 3: Cross multiply
   3,697.72x = 5,102.78 × 2,019.14
4. Step 4: Simplify right side
   3,697.72x = 10,303,227.21
5. Step 5: Solve for x
   x = 10,303,227.21/3,697.72
6. Step 6: Final answer
   x = 2,786.37