Finding the Fourth Proportional to 6,786.72, 10,179.84 and 3,661.92

Step by Step Solution

1. Step 1: Write the proportion equation
   6,786.72 : 10,179.84 = 3,661.92 : x
2. Step 2: Convert to fraction form
   6,786.72/10,179.84 = 3,661.92/x
3. Step 3: Cross multiply
   6,786.72x = 10,179.84 × 3,661.92
4. Step 4: Simplify right side
   6,786.72x = 37,277,759.69
5. Step 5: Solve for x
   x = 37,277,759.69/6,786.72
6. Step 6: Final answer
   x = 5,492.75