Finding the Fourth Proportional to 6,940.58, 9,578.06 and 3,796.78

Step by Step Solution

1. Step 1: Write the proportion equation
   6,940.58 : 9,578.06 = 3,796.78 : x
2. Step 2: Convert to fraction form
   6,940.58/9,578.06 = 3,796.78/x
3. Step 3: Cross multiply
   6,940.58x = 9,578.06 × 3,796.78
4. Step 4: Simplify right side
   6,940.58x = 36,365,786.65
5. Step 5: Solve for x
   x = 36,365,786.65/6,940.58
6. Step 6: Final answer
   x = 5,239.59