Finding the Fourth Proportional to 10,214.44, 14,096.29 and 5,738.09

Step by Step Solution

1. Step 1: Write the proportion equation
   10,214.44 : 14,096.29 = 5,738.09 : x
2. Step 2: Convert to fraction form
   10,214.44/14,096.29 = 5,738.09/x
3. Step 3: Cross multiply
   10,214.44x = 14,096.29 × 5,738.09
4. Step 4: Simplify right side
   10,214.44x = 80,885,780.69
5. Step 5: Solve for x
   x = 80,885,780.69/10,214.44
6. Step 6: Final answer
   x = 7,918.77