Finding the Fourth Proportional to 2,020.28, 2,784.12 and 1,648.22

Step by Step Solution

1. Step 1: Write the proportion equation
   2,020.28 : 2,784.12 = 1,648.22 : x
2. Step 2: Convert to fraction form
   2,020.28/2,784.12 = 1,648.22/x
3. Step 3: Cross multiply
   2,020.28x = 2,784.12 × 1,648.22
4. Step 4: Simplify right side
   2,020.28x = 4,588,842.27
5. Step 5: Solve for x
   x = 4,588,842.27/2,020.28
6. Step 6: Final answer
   x = 2,271.39