Finding the Fourth Proportional to 6,805.78, 10,211.82 and 3,109.14

Step by Step Solution

1. Step 1: Write the proportion equation
   6,805.78 : 10,211.82 = 3,109.14 : x
2. Step 2: Convert to fraction form
   6,805.78/10,211.82 = 3,109.14/x
3. Step 3: Cross multiply
   6,805.78x = 10,211.82 × 3,109.14
4. Step 4: Simplify right side
   6,805.78x = 31,749,978.03
5. Step 5: Solve for x
   x = 31,749,978.03/6,805.78
6. Step 6: Final answer
   x = 4,665.15