Finding the Fourth Proportional to 12,940.64, 19,416.00 and 5,150.24

Step by Step Solution

1. Step 1: Write the proportion equation
   12,940.64 : 19,416.00 = 5,150.24 : x
2. Step 2: Convert to fraction form
   12,940.64/19,416.00 = 5,150.24/x
3. Step 3: Cross multiply
   12,940.64x = 19,416.00 × 5,150.24
4. Step 4: Simplify right side
   12,940.64x = 99,997,127.69
5. Step 5: Solve for x
   x = 99,997,127.69/12,940.64
6. Step 6: Final answer
   x = 7,727.37