Finding the Fourth Proportional to 10,707.50, 16,054.50 and 5,162.24

Step by Step Solution

1. Step 1: Write the proportion equation
   10,707.50 : 16,054.50 = 5,162.24 : x
2. Step 2: Convert to fraction form
   10,707.50/16,054.50 = 5,162.24/x
3. Step 3: Cross multiply
   10,707.50x = 16,054.50 × 5,162.24
4. Step 4: Simplify right side
   10,707.50x = 82,877,182.08
5. Step 5: Solve for x
   x = 82,877,182.08/10,707.50
6. Step 6: Final answer
   x = 7,740.11