Finding the Fourth Proportional to 10,281.59, 14,188.61 and 5,565.86

Step by Step Solution

1. Step 1: Write the proportion equation
   10,281.59 : 14,188.61 = 5,565.86 : x
2. Step 2: Convert to fraction form
   10,281.59/14,188.61 = 5,565.86/x
3. Step 3: Cross multiply
   10,281.59x = 14,188.61 × 5,565.86
4. Step 4: Simplify right side
   10,281.59x = 78,971,816.85
5. Step 5: Solve for x
   x = 78,971,816.85/10,281.59
6. Step 6: Final answer
   x = 7,680.90