Finding the Fourth Proportional to 10,106.37, 13,945.71 and 5,629.26

Step by Step Solution

1. Step 1: Write the proportion equation
   10,106.37 : 13,945.71 = 5,629.26 : x
2. Step 2: Convert to fraction form
   10,106.37/13,945.71 = 5,629.26/x
3. Step 3: Cross multiply
   10,106.37x = 13,945.71 × 5,629.26
4. Step 4: Simplify right side
   10,106.37x = 78,504,060.15
5. Step 5: Solve for x
   x = 78,504,060.15/10,106.37
6. Step 6: Final answer
   x = 7,767.78