Finding the Fourth Proportional to 10,280.17, 14,186.63 and 5,564.45

Step by Step Solution

1. Step 1: Write the proportion equation
   10,280.17 : 14,186.63 = 5,564.45 : x
2. Step 2: Convert to fraction form
   10,280.17/14,186.63 = 5,564.45/x
3. Step 3: Cross multiply
   10,280.17x = 14,186.63 × 5,564.45
4. Step 4: Simplify right side
   10,280.17x = 78,940,793.30
5. Step 5: Solve for x
   x = 78,940,793.30/10,280.17
6. Step 6: Final answer
   x = 7,678.94