Finding the Fourth Proportional to 10,281.47, 14,188.46 and 5,565.75

Step by Step Solution

1. Step 1: Write the proportion equation
   10,281.47 : 14,188.46 = 5,565.75 : x
2. Step 2: Convert to fraction form
   10,281.47/14,188.46 = 5,565.75/x
3. Step 3: Cross multiply
   10,281.47x = 14,188.46 × 5,565.75
4. Step 4: Simplify right side
   10,281.47x = 78,969,421.25
5. Step 5: Solve for x
   x = 78,969,421.25/10,281.47
6. Step 6: Final answer
   x = 7,680.75