Finding the Fourth Proportional to 10,104.13, 13,944.05 and 5,627.71

Step by Step Solution

1. Step 1: Write the proportion equation
   10,104.13 : 13,944.05 = 5,627.71 : x
2. Step 2: Convert to fraction form
   10,104.13/13,944.05 = 5,627.71/x
3. Step 3: Cross multiply
   10,104.13x = 13,944.05 × 5,627.71
4. Step 4: Simplify right side
   10,104.13x = 78,473,069.63
5. Step 5: Solve for x
   x = 78,473,069.63/10,104.13
6. Step 6: Final answer
   x = 7,766.44