Finding the Fourth Proportional to 10,280.09, 14,186.55 and 5,564.40

Step by Step Solution

1. Step 1: Write the proportion equation
   10,280.09 : 14,186.55 = 5,564.40 : x
2. Step 2: Convert to fraction form
   10,280.09/14,186.55 = 5,564.40/x
3. Step 3: Cross multiply
   10,280.09x = 14,186.55 × 5,564.40
4. Step 4: Simplify right side
   10,280.09x = 78,939,638.82
5. Step 5: Solve for x
   x = 78,939,638.82/10,280.09
6. Step 6: Final answer
   x = 7,678.89