Finding the Fourth Proportional to 3,675, 5,071.82 and 2,019.32

Step by Step Solution

1. Step 1: Write the proportion equation
   3,675 : 5,071.82 = 2,019.32 : x
2. Step 2: Convert to fraction form
   3,675/5,071.82 = 2,019.32/x
3. Step 3: Cross multiply
   3,675x = 5,071.82 × 2,019.32
4. Step 4: Simplify right side
   3,675x = 10,241,627.56
5. Step 5: Solve for x
   x = 10,241,627.56/3,675
6. Step 6: Final answer
   x = 2,786.84