Finding the Fourth Proportional to 3,840.16, 5,760.72 and 1,760.80

Step by Step Solution

1. Step 1: Write the proportion equation
   3,840.16 : 5,760.72 = 1,760.80 : x
2. Step 2: Convert to fraction form
   3,840.16/5,760.72 = 1,760.80/x
3. Step 3: Cross multiply
   3,840.16x = 5,760.72 × 1,760.80
4. Step 4: Simplify right side
   3,840.16x = 10,143,475.78
5. Step 5: Solve for x
   x = 10,143,475.78/3,840.16
6. Step 6: Final answer
   x = 2,641.42