Finding the Fourth Proportional to 2,019.81, 2,780.22 and 1,459.38

Step by Step Solution

1. Step 1: Write the proportion equation
   2,019.81 : 2,780.22 = 1,459.38 : x
2. Step 2: Convert to fraction form
   2,019.81/2,780.22 = 1,459.38/x
3. Step 3: Cross multiply
   2,019.81x = 2,780.22 × 1,459.38
4. Step 4: Simplify right side
   2,019.81x = 4,057,397.46
5. Step 5: Solve for x
   x = 4,057,397.46/2,019.81
6. Step 6: Final answer
   x = 2,008.80