Finding the Fourth Proportional to 10,629.73, 14,668.10 and 5,914.27

Step by Step Solution

1. Step 1: Write the proportion equation
   10,629.73 : 14,668.10 = 5,914.27 : x
2. Step 2: Convert to fraction form
   10,629.73/14,668.10 = 5,914.27/x
3. Step 3: Cross multiply
   10,629.73x = 14,668.10 × 5,914.27
4. Step 4: Simplify right side
   10,629.73x = 86,751,074.22
5. Step 5: Solve for x
   x = 86,751,074.22/10,629.73
6. Step 6: Final answer
   x = 8,161.17