Finding the Fourth Proportional to 6,795.85, 10,196.72 and 3,678.05

Step by Step Solution

1. Step 1: Write the proportion equation
   6,795.85 : 10,196.72 = 3,678.05 : x
2. Step 2: Convert to fraction form
   6,795.85/10,196.72 = 3,678.05/x
3. Step 3: Cross multiply
   6,795.85x = 10,196.72 × 3,678.05
4. Step 4: Simplify right side
   6,795.85x = 37,504,027.61
5. Step 5: Solve for x
   x = 37,504,027.61/6,795.85
6. Step 6: Final answer
   x = 5,518.67