Finding the Fourth Proportional to 10,103.14, 13,942.77 and 5,626.89

Step by Step Solution

1. Step 1: Write the proportion equation
   10,103.14 : 13,942.77 = 5,626.89 : x
2. Step 2: Convert to fraction form
   10,103.14/13,942.77 = 5,626.89/x
3. Step 3: Cross multiply
   10,103.14x = 13,942.77 × 5,626.89
4. Step 4: Simplify right side
   10,103.14x = 78,454,453.87
5. Step 5: Solve for x
   x = 78,454,453.87/10,103.14
6. Step 6: Final answer
   x = 7,765.35