Finding the Fourth Proportional to 10,103.33, 13,942.60 and 5,627.94

Step by Step Solution

1. Step 1: Write the proportion equation
   10,103.33 : 13,942.60 = 5,627.94 : x
2. Step 2: Convert to fraction form
   10,103.33/13,942.60 = 5,627.94/x
3. Step 3: Cross multiply
   10,103.33x = 13,942.60 × 5,627.94
4. Step 4: Simplify right side
   10,103.33x = 78,468,116.24
5. Step 5: Solve for x
   x = 78,468,116.24/10,103.33
6. Step 6: Final answer
   x = 7,766.56