Finding the Fourth Proportional to 2,019.84, 2,780.64 and 1,926.96

Step by Step Solution

1. Step 1: Write the proportion equation
   2,019.84 : 2,780.64 = 1,926.96 : x
2. Step 2: Convert to fraction form
   2,019.84/2,780.64 = 1,926.96/x
3. Step 3: Cross multiply
   2,019.84x = 2,780.64 × 1,926.96
4. Step 4: Simplify right side
   2,019.84x = 5,358,182.05
5. Step 5: Solve for x
   x = 5,358,182.05/2,019.84
6. Step 6: Final answer
   x = 2,652.78