Finding the Fourth Proportional to 10,120.14, 13,964.40 and 5,643.27

Step by Step Solution

1. Step 1: Write the proportion equation
   10,120.14 : 13,964.40 = 5,643.27 : x
2. Step 2: Convert to fraction form
   10,120.14/13,964.40 = 5,643.27/x
3. Step 3: Cross multiply
   10,120.14x = 13,964.40 × 5,643.27
4. Step 4: Simplify right side
   10,120.14x = 78,804,879.59
5. Step 5: Solve for x
   x = 78,804,879.59/10,120.14
6. Step 6: Final answer
   x = 7,786.94