Finding the Fourth Proportional to 6,910.50, 9,536.49 and 3,766.71

Step by Step Solution

1. Step 1: Write the proportion equation
   6,910.50 : 9,536.49 = 3,766.71 : x
2. Step 2: Convert to fraction form
   6,910.50/9,536.49 = 3,766.71/x
3. Step 3: Cross multiply
   6,910.50x = 9,536.49 × 3,766.71
4. Step 4: Simplify right side
   6,910.50x = 35,921,192.25
5. Step 5: Solve for x
   x = 35,921,192.25/6,910.50
6. Step 6: Final answer
   x = 5,198.06