Finding the Fourth Proportional to 10,214.01, 14,096.08 and 5,738.03

Step by Step Solution

1. Step 1: Write the proportion equation
   10,214.01 : 14,096.08 = 5,738.03 : x
2. Step 2: Convert to fraction form
   10,214.01/14,096.08 = 5,738.03/x
3. Step 3: Cross multiply
   10,214.01x = 14,096.08 × 5,738.03
4. Step 4: Simplify right side
   10,214.01x = 80,883,729.92
5. Step 5: Solve for x
   x = 80,883,729.92/10,214.01
6. Step 6: Final answer
   x = 7,918.90