Finding the Fourth Proportional to 2,768.25, 3,820.13 and 1,509.31

Step by Step Solution

1. Step 1: Write the proportion equation
   2,768.25 : 3,820.13 = 1,509.31 : x
2. Step 2: Convert to fraction form
   2,768.25/3,820.13 = 1,509.31/x
3. Step 3: Cross multiply
   2,768.25x = 3,820.13 × 1,509.31
4. Step 4: Simplify right side
   2,768.25x = 5,765,768.96
5. Step 5: Solve for x
   x = 5,765,768.96/2,768.25
6. Step 6: Final answer
   x = 2,082.82