Finding the Fourth Proportional to 2,849.72, 4,274.28 and 769.60

Step by Step Solution

1. Step 1: Write the proportion equation
   2,849.72 : 4,274.28 = 769.60 : x
2. Step 2: Convert to fraction form
   2,849.72/4,274.28 = 769.60/x
3. Step 3: Cross multiply
   2,849.72x = 4,274.28 × 769.60
4. Step 4: Simplify right side
   2,849.72x = 3,289,485.89
5. Step 5: Solve for x
   x = 3,289,485.89/2,849.72
6. Step 6: Final answer
   x = 1,154.32