Finding the Fourth Proportional to 10,279.89, 14,186.34 and 5,564.25

Step by Step Solution

1. Step 1: Write the proportion equation
   10,279.89 : 14,186.34 = 5,564.25 : x
2. Step 2: Convert to fraction form
   10,279.89/14,186.34 = 5,564.25/x
3. Step 3: Cross multiply
   10,279.89x = 14,186.34 × 5,564.25
4. Step 4: Simplify right side
   10,279.89x = 78,936,342.35
5. Step 5: Solve for x
   x = 78,936,342.35/10,279.89
6. Step 6: Final answer
   x = 7,678.71