Finding the Fourth Proportional to 10,280.16, 14,186.52 and 5,564.34

Step by Step Solution

1. Step 1: Write the proportion equation
   10,280.16 : 14,186.52 = 5,564.34 : x
2. Step 2: Convert to fraction form
   10,280.16/14,186.52 = 5,564.34/x
3. Step 3: Cross multiply
   10,280.16x = 14,186.52 × 5,564.34
4. Step 4: Simplify right side
   10,280.16x = 78,938,620.70
5. Step 5: Solve for x
   x = 78,938,620.70/10,280.16
6. Step 6: Final answer
   x = 7,678.73