Finding the Fourth Proportional to 2,019.20, 2,784.64 and 1,320.96

Step by Step Solution

1. Step 1: Write the proportion equation
   2,019.20 : 2,784.64 = 1,320.96 : x
2. Step 2: Convert to fraction form
   2,019.20/2,784.64 = 1,320.96/x
3. Step 3: Cross multiply
   2,019.20x = 2,784.64 × 1,320.96
4. Step 4: Simplify right side
   2,019.20x = 3,678,398.05
5. Step 5: Solve for x
   x = 3,678,398.05/2,019.20
6. Step 6: Final answer
   x = 1,821.71