Finding the Fourth Proportional to 10,214.03, 14,096.79 and 5,738.13

Step by Step Solution

1. Step 1: Write the proportion equation
   10,214.03 : 14,096.79 = 5,738.13 : x
2. Step 2: Convert to fraction form
   10,214.03/14,096.79 = 5,738.13/x
3. Step 3: Cross multiply
   10,214.03x = 14,096.79 × 5,738.13
4. Step 4: Simplify right side
   10,214.03x = 80,889,114.43
5. Step 5: Solve for x
   x = 80,889,114.43/10,214.03
6. Step 6: Final answer
   x = 7,919.41