Finding the Fourth Proportional to 11,424, 17,142.48 and 5,268

Step by Step Solution

1. Step 1: Write the proportion equation
   11,424 : 17,142.48 = 5,268 : x
2. Step 2: Convert to fraction form
   11,424/17,142.48 = 5,268/x
3. Step 3: Cross multiply
   11,424x = 17,142.48 × 5,268
4. Step 4: Simplify right side
   11,424x = 90,306,584.64
5. Step 5: Solve for x
   x = 90,306,584.64/11,424
6. Step 6: Final answer
   x = 7,904.99