Finding the Fourth Proportional to 10,106.24, 13,944.76 and 5,629.87

Step by Step Solution

1. Step 1: Write the proportion equation
   10,106.24 : 13,944.76 = 5,629.87 : x
2. Step 2: Convert to fraction form
   10,106.24/13,944.76 = 5,629.87/x
3. Step 3: Cross multiply
   10,106.24x = 13,944.76 × 5,629.87
4. Step 4: Simplify right side
   10,106.24x = 78,507,189.34
5. Step 5: Solve for x
   x = 78,507,189.34/10,106.24
6. Step 6: Final answer
   x = 7,768.19