Finding the Fourth Proportional to 3,697.62, 5,102.69 and 2,019.02

Step by Step Solution

1. Step 1: Write the proportion equation
   3,697.62 : 5,102.69 = 2,019.02 : x
2. Step 2: Convert to fraction form
   3,697.62/5,102.69 = 2,019.02/x
3. Step 3: Cross multiply
   3,697.62x = 5,102.69 × 2,019.02
4. Step 4: Simplify right side
   3,697.62x = 10,302,433.16
5. Step 5: Solve for x
   x = 10,302,433.16/3,697.62
6. Step 6: Final answer
   x = 2,786.23