Finding the Fourth Proportional to 2,772.72, 3,825.24 and 1,945.20

Step by Step Solution

1. Step 1: Write the proportion equation
   2,772.72 : 3,825.24 = 1,945.20 : x
2. Step 2: Convert to fraction form
   2,772.72/3,825.24 = 1,945.20/x
3. Step 3: Cross multiply
   2,772.72x = 3,825.24 × 1,945.20
4. Step 4: Simplify right side
   2,772.72x = 7,440,856.85
5. Step 5: Solve for x
   x = 7,440,856.85/2,772.72
6. Step 6: Final answer
   x = 2,683.59