Finding the Fourth Proportional to 6,910.57, 9,536.25 and 3,766.69

Step by Step Solution

1. Step 1: Write the proportion equation
   6,910.57 : 9,536.25 = 3,766.69 : x
2. Step 2: Convert to fraction form
   6,910.57/9,536.25 = 3,766.69/x
3. Step 3: Cross multiply
   6,910.57x = 9,536.25 × 3,766.69
4. Step 4: Simplify right side
   6,910.57x = 35,920,097.51
5. Step 5: Solve for x
   x = 35,920,097.51/6,910.57
6. Step 6: Final answer
   x = 5,197.85