Finding the Fourth Proportional to 10,086.40, 13,919.16 and 5,609.89

Step by Step Solution

1. Step 1: Write the proportion equation
   10,086.40 : 13,919.16 = 5,609.89 : x
2. Step 2: Convert to fraction form
   10,086.40/13,919.16 = 5,609.89/x
3. Step 3: Cross multiply
   10,086.40x = 13,919.16 × 5,609.89
4. Step 4: Simplify right side
   10,086.40x = 78,084,956.49
5. Step 5: Solve for x
   x = 78,084,956.49/10,086.40
6. Step 6: Final answer
   x = 7,741.61