Finding the Fourth Proportional to 10,086.02, 13,917.18 and 5,609.80

Step by Step Solution

1. Step 1: Write the proportion equation
   10,086.02 : 13,917.18 = 5,609.80 : x
2. Step 2: Convert to fraction form
   10,086.02/13,917.18 = 5,609.80/x
3. Step 3: Cross multiply
   10,086.02x = 13,917.18 × 5,609.80
4. Step 4: Simplify right side
   10,086.02x = 78,072,596.36
5. Step 5: Solve for x
   x = 78,072,596.36/10,086.02
6. Step 6: Final answer
   x = 7,740.67