Finding the Fourth Proportional to 10,103.85, 13,943.61 and 5,627.97

Step by Step Solution

1. Step 1: Write the proportion equation
   10,103.85 : 13,943.61 = 5,627.97 : x
2. Step 2: Convert to fraction form
   10,103.85/13,943.61 = 5,627.97/x
3. Step 3: Cross multiply
   10,103.85x = 13,943.61 × 5,627.97
4. Step 4: Simplify right side
   10,103.85x = 78,474,218.77
5. Step 5: Solve for x
   x = 78,474,218.77/10,103.85
6. Step 6: Final answer
   x = 7,766.76