Finding the Fourth Proportional to 7,743.69, 10,684.72 and 4,716.78

Step by Step Solution

1. Step 1: Write the proportion equation
   7,743.69 : 10,684.72 = 4,716.78 : x
2. Step 2: Convert to fraction form
   7,743.69/10,684.72 = 4,716.78/x
3. Step 3: Cross multiply
   7,743.69x = 10,684.72 × 4,716.78
4. Step 4: Simplify right side
   7,743.69x = 50,397,473.60
5. Step 5: Solve for x
   x = 50,397,473.60/7,743.69
6. Step 6: Final answer
   x = 6,508.20