Finding the Fourth Proportional to 10,213.99, 14,096.68 and 5,738.00

Step by Step Solution

1. Step 1: Write the proportion equation
   10,213.99 : 14,096.68 = 5,738.00 : x
2. Step 2: Convert to fraction form
   10,213.99/14,096.68 = 5,738.00/x
3. Step 3: Cross multiply
   10,213.99x = 14,096.68 × 5,738.00
4. Step 4: Simplify right side
   10,213.99x = 80,886,665.01
5. Step 5: Solve for x
   x = 80,886,665.01/10,213.99
6. Step 6: Final answer
   x = 7,919.21