Finding the Fourth Proportional to 10,217.88, 14,100.89 and 5,742.09

Step by Step Solution

1. Step 1: Write the proportion equation
   10,217.88 : 14,100.89 = 5,742.09 : x
2. Step 2: Convert to fraction form
   10,217.88/14,100.89 = 5,742.09/x
3. Step 3: Cross multiply
   10,217.88x = 14,100.89 × 5,742.09
4. Step 4: Simplify right side
   10,217.88x = 80,968,550.75
5. Step 5: Solve for x
   x = 80,968,550.75/10,217.88
6. Step 6: Final answer
   x = 7,924.20