Finding the Fourth Proportional to 10,103.49, 13,942.44 and 5,627.14

Step by Step Solution

1. Step 1: Write the proportion equation
   10,103.49 : 13,942.44 = 5,627.14 : x
2. Step 2: Convert to fraction form
   10,103.49/13,942.44 = 5,627.14/x
3. Step 3: Cross multiply
   10,103.49x = 13,942.44 × 5,627.14
4. Step 4: Simplify right side
   10,103.49x = 78,456,061.82
5. Step 5: Solve for x
   x = 78,456,061.82/10,103.49
6. Step 6: Final answer
   x = 7,765.24