Finding the Fourth Proportional to 2,768.46, 3,820.35 and 1,509.48

Step by Step Solution

1. Step 1: Write the proportion equation
   2,768.46 : 3,820.35 = 1,509.48 : x
2. Step 2: Convert to fraction form
   2,768.46/3,820.35 = 1,509.48/x
3. Step 3: Cross multiply
   2,768.46x = 3,820.35 × 1,509.48
4. Step 4: Simplify right side
   2,768.46x = 5,766,747.58
5. Step 5: Solve for x
   x = 5,766,747.58/2,768.46
6. Step 6: Final answer
   x = 2,083.02