Finding the Fourth Proportional to 10,105.53, 13,945.44 and 5,629.65

Step by Step Solution

1. Step 1: Write the proportion equation
   10,105.53 : 13,945.44 = 5,629.65 : x
2. Step 2: Convert to fraction form
   10,105.53/13,945.44 = 5,629.65/x
3. Step 3: Cross multiply
   10,105.53x = 13,945.44 × 5,629.65
4. Step 4: Simplify right side
   10,105.53x = 78,507,946.30
5. Step 5: Solve for x
   x = 78,507,946.30/10,105.53
6. Step 6: Final answer
   x = 7,768.81