Finding the Fourth Proportional to 10,086.22, 13,919.31 and 5,609.86

Step by Step Solution

1. Step 1: Write the proportion equation
   10,086.22 : 13,919.31 = 5,609.86 : x
2. Step 2: Convert to fraction form
   10,086.22/13,919.31 = 5,609.86/x
3. Step 3: Cross multiply
   10,086.22x = 13,919.31 × 5,609.86
4. Step 4: Simplify right side
   10,086.22x = 78,085,345.60
5. Step 5: Solve for x
   x = 78,085,345.60/10,086.22
6. Step 6: Final answer
   x = 7,741.78