Finding the Fourth Proportional to 10,280.34, 14,186.88 and 5,564.61

Step by Step Solution

1. Step 1: Write the proportion equation
   10,280.34 : 14,186.88 = 5,564.61 : x
2. Step 2: Convert to fraction form
   10,280.34/14,186.88 = 5,564.61/x
3. Step 3: Cross multiply
   10,280.34x = 14,186.88 × 5,564.61
4. Step 4: Simplify right side
   10,280.34x = 78,944,454.32
5. Step 5: Solve for x
   x = 78,944,454.32/10,280.34
6. Step 6: Final answer
   x = 7,679.17