Finding the Fourth Proportional to 10,279.38, 14,185.64 and 5,563.76

Step by Step Solution

1. Step 1: Write the proportion equation
   10,279.38 : 14,185.64 = 5,563.76 : x
2. Step 2: Convert to fraction form
   10,279.38/14,185.64 = 5,563.76/x
3. Step 3: Cross multiply
   10,279.38x = 14,185.64 × 5,563.76
4. Step 4: Simplify right side
   10,279.38x = 78,925,496.41
5. Step 5: Solve for x
   x = 78,925,496.41/10,279.38
6. Step 6: Final answer
   x = 7,678.04