Finding the Fourth Proportional to 10,106.40, 13,945.17 and 5,629.14

Step by Step Solution

1. Step 1: Write the proportion equation
   10,106.40 : 13,945.17 = 5,629.14 : x
2. Step 2: Convert to fraction form
   10,106.40/13,945.17 = 5,629.14/x
3. Step 3: Cross multiply
   10,106.40x = 13,945.17 × 5,629.14
4. Step 4: Simplify right side
   10,106.40x = 78,499,314.25
5. Step 5: Solve for x
   x = 78,499,314.25/10,106.40
6. Step 6: Final answer
   x = 7,767.29