Finding the Fourth Proportional to 10,240, 14,131.28 and 5,824

Step by Step Solution

1. Step 1: Write the proportion equation
   10,240 : 14,131.28 = 5,824 : x
2. Step 2: Convert to fraction form
   10,240/14,131.28 = 5,824/x
3. Step 3: Cross multiply
   10,240x = 14,131.28 × 5,824
4. Step 4: Simplify right side
   10,240x = 82,300,574.72
5. Step 5: Solve for x
   x = 82,300,574.72/10,240
6. Step 6: Final answer
   x = 8,037.17