Finding the Fourth Proportional to 10,279.34, 14,185.50 and 5,563.64

Step by Step Solution

1. Step 1: Write the proportion equation
   10,279.34 : 14,185.50 = 5,563.64 : x
2. Step 2: Convert to fraction form
   10,279.34/14,185.50 = 5,563.64/x
3. Step 3: Cross multiply
   10,279.34x = 14,185.50 × 5,563.64
4. Step 4: Simplify right side
   10,279.34x = 78,923,015.22
5. Step 5: Solve for x
   x = 78,923,015.22/10,279.34
6. Step 6: Final answer
   x = 7,677.83