Finding the Fourth Proportional to 10,279.32, 14,185.44 and 5,563.60

Step by Step Solution

1. Step 1: Write the proportion equation
   10,279.32 : 14,185.44 = 5,563.60 : x
2. Step 2: Convert to fraction form
   10,279.32/14,185.44 = 5,563.60/x
3. Step 3: Cross multiply
   10,279.32x = 14,185.44 × 5,563.60
4. Step 4: Simplify right side
   10,279.32x = 78,922,113.98
5. Step 5: Solve for x
   x = 78,922,113.98/10,279.32
6. Step 6: Final answer
   x = 7,677.76