Finding the Fourth Proportional to 10,103.57, 13,942.14 and 5,626.60

Step by Step Solution

1. Step 1: Write the proportion equation
   10,103.57 : 13,942.14 = 5,626.60 : x
2. Step 2: Convert to fraction form
   10,103.57/13,942.14 = 5,626.60/x
3. Step 3: Cross multiply
   10,103.57x = 13,942.14 × 5,626.60
4. Step 4: Simplify right side
   10,103.57x = 78,446,844.92
5. Step 5: Solve for x
   x = 78,446,844.92/10,103.57
6. Step 6: Final answer
   x = 7,764.27