Finding the Fourth Proportional to 12,933.12, 19,406.16 and 5,144.16

Step by Step Solution

1. Step 1: Write the proportion equation
   12,933.12 : 19,406.16 = 5,144.16 : x
2. Step 2: Convert to fraction form
   12,933.12/19,406.16 = 5,144.16/x
3. Step 3: Cross multiply
   12,933.12x = 19,406.16 × 5,144.16
4. Step 4: Simplify right side
   12,933.12x = 99,828,392.03
5. Step 5: Solve for x
   x = 99,828,392.03/12,933.12
6. Step 6: Final answer
   x = 7,718.82