Finding the Fourth Proportional to 2,562.72, 3,844.80 and 919.20

Step by Step Solution

1. Step 1: Write the proportion equation
   2,562.72 : 3,844.80 = 919.20 : x
2. Step 2: Convert to fraction form
   2,562.72/3,844.80 = 919.20/x
3. Step 3: Cross multiply
   2,562.72x = 3,844.80 × 919.20
4. Step 4: Simplify right side
   2,562.72x = 3,534,140.16
5. Step 5: Solve for x
   x = 3,534,140.16/2,562.72
6. Step 6: Final answer
   x = 1,379.06