Finding the Fourth Proportional to 10,518.49, 14,515.79 and 5,738.52

Step by Step Solution

1. Step 1: Write the proportion equation
   10,518.49 : 14,515.79 = 5,738.52 : x
2. Step 2: Convert to fraction form
   10,518.49/14,515.79 = 5,738.52/x
3. Step 3: Cross multiply
   10,518.49x = 14,515.79 × 5,738.52
4. Step 4: Simplify right side
   10,518.49x = 83,299,078.65
5. Step 5: Solve for x
   x = 83,299,078.65/10,518.49
6. Step 6: Final answer
   x = 7,919.30