Finding the Fourth Proportional to 2,767.98, 3,819.86 and 1,509.08

Step by Step Solution

1. Step 1: Write the proportion equation
   2,767.98 : 3,819.86 = 1,509.08 : x
2. Step 2: Convert to fraction form
   2,767.98/3,819.86 = 1,509.08/x
3. Step 3: Cross multiply
   2,767.98x = 3,819.86 × 1,509.08
4. Step 4: Simplify right side
   2,767.98x = 5,764,474.33
5. Step 5: Solve for x
   x = 5,764,474.33/2,767.98
6. Step 6: Final answer
   x = 2,082.56