Finding the Fourth Proportional to 10,086.10, 13,918.62 and 5,609.76

Step by Step Solution

1. Step 1: Write the proportion equation
   10,086.10 : 13,918.62 = 5,609.76 : x
2. Step 2: Convert to fraction form
   10,086.10/13,918.62 = 5,609.76/x
3. Step 3: Cross multiply
   10,086.10x = 13,918.62 × 5,609.76
4. Step 4: Simplify right side
   10,086.10x = 78,080,065.54
5. Step 5: Solve for x
   x = 78,080,065.54/10,086.10
6. Step 6: Final answer
   x = 7,741.35