Finding the Fourth Proportional to 10,279.63, 14,185.99 and 5,564.01

Step by Step Solution

1. Step 1: Write the proportion equation
   10,279.63 : 14,185.99 = 5,564.01 : x
2. Step 2: Convert to fraction form
   10,279.63/14,185.99 = 5,564.01/x
3. Step 3: Cross multiply
   10,279.63x = 14,185.99 × 5,564.01
4. Step 4: Simplify right side
   10,279.63x = 78,930,990.22
5. Step 5: Solve for x
   x = 78,930,990.22/10,279.63
6. Step 6: Final answer
   x = 7,678.39