Finding the Fourth Proportional to 2,019.89, 2,786.77 and 1,646.22

Step by Step Solution

1. Step 1: Write the proportion equation
   2,019.89 : 2,786.77 = 1,646.22 : x
2. Step 2: Convert to fraction form
   2,019.89/2,786.77 = 1,646.22/x
3. Step 3: Cross multiply
   2,019.89x = 2,786.77 × 1,646.22
4. Step 4: Simplify right side
   2,019.89x = 4,587,643.79
5. Step 5: Solve for x
   x = 4,587,643.79/2,019.89
6. Step 6: Final answer
   x = 2,271.24