Finding the Fourth Proportional to 10,279.88, 14,186.24 and 5,564.16

Step by Step Solution

1. Step 1: Write the proportion equation
   10,279.88 : 14,186.24 = 5,564.16 : x
2. Step 2: Convert to fraction form
   10,279.88/14,186.24 = 5,564.16/x
3. Step 3: Cross multiply
   10,279.88x = 14,186.24 × 5,564.16
4. Step 4: Simplify right side
   10,279.88x = 78,934,481.34
5. Step 5: Solve for x
   x = 78,934,481.34/10,279.88
6. Step 6: Final answer
   x = 7,678.54