Finding the Fourth Proportional to 10,214.27, 14,097.02 and 5,738.03

Step by Step Solution

1. Step 1: Write the proportion equation
   10,214.27 : 14,097.02 = 5,738.03 : x
2. Step 2: Convert to fraction form
   10,214.27/14,097.02 = 5,738.03/x
3. Step 3: Cross multiply
   10,214.27x = 14,097.02 × 5,738.03
4. Step 4: Simplify right side
   10,214.27x = 80,889,024.50
5. Step 5: Solve for x
   x = 80,889,024.50/10,214.27
6. Step 6: Final answer
   x = 7,919.22