Finding the Fourth Proportional to 10,279.42, 14,185.61 and 5,563.70

Step by Step Solution

1. Step 1: Write the proportion equation
   10,279.42 : 14,185.61 = 5,563.70 : x
2. Step 2: Convert to fraction form
   10,279.42/14,185.61 = 5,563.70/x
3. Step 3: Cross multiply
   10,279.42x = 14,185.61 × 5,563.70
4. Step 4: Simplify right side
   10,279.42x = 78,924,478.36
5. Step 5: Solve for x
   x = 78,924,478.36/10,279.42
6. Step 6: Final answer
   x = 7,677.91