Finding the Fourth Proportional to 6,178.78, 9,269.54 and 3,404.03

Step by Step Solution

1. Step 1: Write the proportion equation
   6,178.78 : 9,269.54 = 3,404.03 : x
2. Step 2: Convert to fraction form
   6,178.78/9,269.54 = 3,404.03/x
3. Step 3: Cross multiply
   6,178.78x = 9,269.54 × 3,404.03
4. Step 4: Simplify right side
   6,178.78x = 31,553,786.86
5. Step 5: Solve for x
   x = 31,553,786.86/6,178.78
6. Step 6: Final answer
   x = 5,106.80