Finding the Fourth Proportional to 2,768.10, 3,820.02 and 1,509.18

Step by Step Solution

1. Step 1: Write the proportion equation
   2,768.10 : 3,820.02 = 1,509.18 : x
2. Step 2: Convert to fraction form
   2,768.10/3,820.02 = 1,509.18/x
3. Step 3: Cross multiply
   2,768.10x = 3,820.02 × 1,509.18
4. Step 4: Simplify right side
   2,768.10x = 5,765,097.78
5. Step 5: Solve for x
   x = 5,765,097.78/2,768.10
6. Step 6: Final answer
   x = 2,082.69