Finding the Fourth Proportional to 10,279.14, 14,185.24 and 5,563.42

Step by Step Solution

1. Step 1: Write the proportion equation
   10,279.14 : 14,185.24 = 5,563.42 : x
2. Step 2: Convert to fraction form
   10,279.14/14,185.24 = 5,563.42/x
3. Step 3: Cross multiply
   10,279.14x = 14,185.24 × 5,563.42
4. Step 4: Simplify right side
   10,279.14x = 78,918,447.92
5. Step 5: Solve for x
   x = 78,918,447.92/10,279.14
6. Step 6: Final answer
   x = 7,677.53