Finding the Fourth Proportional to 10,214.56, 14,096.46 and 5,738.22

Step by Step Solution

1. Step 1: Write the proportion equation
   10,214.56 : 14,096.46 = 5,738.22 : x
2. Step 2: Convert to fraction form
   10,214.56/14,096.46 = 5,738.22/x
3. Step 3: Cross multiply
   10,214.56x = 14,096.46 × 5,738.22
4. Step 4: Simplify right side
   10,214.56x = 80,888,610.22
5. Step 5: Solve for x
   x = 80,888,610.22/10,214.56
6. Step 6: Final answer
   x = 7,918.95