Finding the Fourth Proportional to 10,103.20, 13,942.56 and 5,627.24

Step by Step Solution

1. Step 1: Write the proportion equation
   10,103.20 : 13,942.56 = 5,627.24 : x
2. Step 2: Convert to fraction form
   10,103.20/13,942.56 = 5,627.24/x
3. Step 3: Cross multiply
   10,103.20x = 13,942.56 × 5,627.24
4. Step 4: Simplify right side
   10,103.20x = 78,458,131.33
5. Step 5: Solve for x
   x = 78,458,131.33/10,103.20
6. Step 6: Final answer
   x = 7,765.67