Finding the Fourth Proportional to 10,364.24, 15,537.72 and 5,162.96

Step by Step Solution

1. Step 1: Write the proportion equation
   10,364.24 : 15,537.72 = 5,162.96 : x
2. Step 2: Convert to fraction form
   10,364.24/15,537.72 = 5,162.96/x
3. Step 3: Cross multiply
   10,364.24x = 15,537.72 × 5,162.96
4. Step 4: Simplify right side
   10,364.24x = 80,220,626.85
5. Step 5: Solve for x
   x = 80,220,626.85/10,364.24
6. Step 6: Final answer
   x = 7,740.14