Finding the Fourth Proportional to 6,178.98, 9,269.89 and 2,019.30

Step by Step Solution

1. Step 1: Write the proportion equation
   6,178.98 : 9,269.89 = 2,019.30 : x
2. Step 2: Convert to fraction form
   6,178.98/9,269.89 = 2,019.30/x
3. Step 3: Cross multiply
   6,178.98x = 9,269.89 × 2,019.30
4. Step 4: Simplify right side
   6,178.98x = 18,718,738.64
5. Step 5: Solve for x
   x = 18,718,738.64/6,178.98
6. Step 6: Final answer
   x = 3,029.42