Finding the Fourth Proportional to 3,697.74, 5,102.82 and 2,019.16

Step by Step Solution

1. Step 1: Write the proportion equation
   3,697.74 : 5,102.82 = 2,019.16 : x
2. Step 2: Convert to fraction form
   3,697.74/5,102.82 = 2,019.16/x
3. Step 3: Cross multiply
   3,697.74x = 5,102.82 × 2,019.16
4. Step 4: Simplify right side
   3,697.74x = 10,303,410.03
5. Step 5: Solve for x
   x = 10,303,410.03/3,697.74
6. Step 6: Final answer
   x = 2,786.41