Finding the Fourth Proportional to 3,820, 5,730.72 and 1,768

Step by Step Solution

1. Step 1: Write the proportion equation
   3,820 : 5,730.72 = 1,768 : x
2. Step 2: Convert to fraction form
   3,820/5,730.72 = 1,768/x
3. Step 3: Cross multiply
   3,820x = 5,730.72 × 1,768
4. Step 4: Simplify right side
   3,820x = 10,131,912.96
5. Step 5: Solve for x
   x = 10,131,912.96/3,820
6. Step 6: Final answer
   x = 2,652.33