Finding the Fourth Proportional to 10,279.10, 14,185.10 and 5,563.34

Step by Step Solution

1. Step 1: Write the proportion equation
   10,279.10 : 14,185.10 = 5,563.34 : x
2. Step 2: Convert to fraction form
   10,279.10/14,185.10 = 5,563.34/x
3. Step 3: Cross multiply
   10,279.10x = 14,185.10 × 5,563.34
4. Step 4: Simplify right side
   10,279.10x = 78,916,534.23
5. Step 5: Solve for x
   x = 78,916,534.23/10,279.10
6. Step 6: Final answer
   x = 7,677.38