Finding the Fourth Proportional to 10,279.25, 14,185.37 and 5,563.57

Step by Step Solution

1. Step 1: Write the proportion equation
   10,279.25 : 14,185.37 = 5,563.57 : x
2. Step 2: Convert to fraction form
   10,279.25/14,185.37 = 5,563.57/x
3. Step 3: Cross multiply
   10,279.25x = 14,185.37 × 5,563.57
4. Step 4: Simplify right side
   10,279.25x = 78,921,200.23
5. Step 5: Solve for x
   x = 78,921,200.23/10,279.25
6. Step 6: Final answer
   x = 7,677.72