Finding the Fourth Proportional to 2,768.27, 3,820.14 and 1,509.32

Step by Step Solution

1. Step 1: Write the proportion equation
   2,768.27 : 3,820.14 = 1,509.32 : x
2. Step 2: Convert to fraction form
   2,768.27/3,820.14 = 1,509.32/x
3. Step 3: Cross multiply
   2,768.27x = 3,820.14 × 1,509.32
4. Step 4: Simplify right side
   2,768.27x = 5,765,794.60
5. Step 5: Solve for x
   x = 5,765,794.60/2,768.27
6. Step 6: Final answer
   x = 2,082.82