Finding the Fourth Proportional to 6,910.38, 9,536.32 and 3,766.56

Step by Step Solution

1. Step 1: Write the proportion equation
   6,910.38 : 9,536.32 = 3,766.56 : x
2. Step 2: Convert to fraction form
   6,910.38/9,536.32 = 3,766.56/x
3. Step 3: Cross multiply
   6,910.38x = 9,536.32 × 3,766.56
4. Step 4: Simplify right side
   6,910.38x = 35,919,121.46
5. Step 5: Solve for x
   x = 35,919,121.46/6,910.38
6. Step 6: Final answer
   x = 5,197.85