Finding the Fourth Proportional to 10,086.71, 13,918.59 and 5,609.74

Step by Step Solution

1. Step 1: Write the proportion equation
   10,086.71 : 13,918.59 = 5,609.74 : x
2. Step 2: Convert to fraction form
   10,086.71/13,918.59 = 5,609.74/x
3. Step 3: Cross multiply
   10,086.71x = 13,918.59 × 5,609.74
4. Step 4: Simplify right side
   10,086.71x = 78,079,643.02
5. Step 5: Solve for x
   x = 78,079,643.02/10,086.71
6. Step 6: Final answer
   x = 7,740.85