Finding the Fourth Proportional to 10,279.14, 14,185.23 and 5,563.41

Step by Step Solution

1. Step 1: Write the proportion equation
   10,279.14 : 14,185.23 = 5,563.41 : x
2. Step 2: Convert to fraction form
   10,279.14/14,185.23 = 5,563.41/x
3. Step 3: Cross multiply
   10,279.14x = 14,185.23 × 5,563.41
4. Step 4: Simplify right side
   10,279.14x = 78,918,250.43
5. Step 5: Solve for x
   x = 78,918,250.43/10,279.14
6. Step 6: Final answer
   x = 7,677.51