Finding the Fourth Proportional to 6,923.09, 10,391.55 and 3,643.10

Step by Step Solution

1. Step 1: Write the proportion equation
   6,923.09 : 10,391.55 = 3,643.10 : x
2. Step 2: Convert to fraction form
   6,923.09/10,391.55 = 3,643.10/x
3. Step 3: Cross multiply
   6,923.09x = 10,391.55 × 3,643.10
4. Step 4: Simplify right side
   6,923.09x = 37,857,403.85
5. Step 5: Solve for x
   x = 37,857,403.85/6,923.09
6. Step 6: Final answer
   x = 5,468.29