Finding the Fourth Proportional to 10,279.89, 14,186.22 and 5,564.16

Step by Step Solution

1. Step 1: Write the proportion equation
   10,279.89 : 14,186.22 = 5,564.16 : x
2. Step 2: Convert to fraction form
   10,279.89/14,186.22 = 5,564.16/x
3. Step 3: Cross multiply
   10,279.89x = 14,186.22 × 5,564.16
4. Step 4: Simplify right side
   10,279.89x = 78,934,397.88
5. Step 5: Solve for x
   x = 78,934,397.88/10,279.89
6. Step 6: Final answer
   x = 7,678.53