Finding the Fourth Proportional to 10,281.14, 14,188 and 5,565.42

Step by Step Solution

1. Step 1: Write the proportion equation
   10,281.14 : 14,188 = 5,565.42 : x
2. Step 2: Convert to fraction form
   10,281.14/14,188 = 5,565.42/x
3. Step 3: Cross multiply
   10,281.14x = 14,188 × 5,565.42
4. Step 4: Simplify right side
   10,281.14x = 78,962,178.96
5. Step 5: Solve for x
   x = 78,962,178.96/10,281.14
6. Step 6: Final answer
   x = 7,680.29