Finding the Fourth Proportional to 10,279.50, 14,185.71 and 5,563.82

Step by Step Solution

1. Step 1: Write the proportion equation
   10,279.50 : 14,185.71 = 5,563.82 : x
2. Step 2: Convert to fraction form
   10,279.50/14,185.71 = 5,563.82/x
3. Step 3: Cross multiply
   10,279.50x = 14,185.71 × 5,563.82
4. Step 4: Simplify right side
   10,279.50x = 78,926,666.08
5. Step 5: Solve for x
   x = 78,926,666.08/10,279.50
6. Step 6: Final answer
   x = 7,678.06