Finding the Fourth Proportional to 2,020.80, 3,009.96 and 1,926

Step by Step Solution

1. Step 1: Write the proportion equation
   2,020.80 : 3,009.96 = 1,926 : x
2. Step 2: Convert to fraction form
   2,020.80/3,009.96 = 1,926/x
3. Step 3: Cross multiply
   2,020.80x = 3,009.96 × 1,926
4. Step 4: Simplify right side
   2,020.80x = 5,797,182.96
5. Step 5: Solve for x
   x = 5,797,182.96/2,020.80
6. Step 6: Final answer
   x = 2,868.76