Finding the Fourth Proportional to 8,722.50, 12,031.92 and 5,185.50

Step by Step Solution

1. Step 1: Write the proportion equation
   8,722.50 : 12,031.92 = 5,185.50 : x
2. Step 2: Convert to fraction form
   8,722.50/12,031.92 = 5,185.50/x
3. Step 3: Cross multiply
   8,722.50x = 12,031.92 × 5,185.50
4. Step 4: Simplify right side
   8,722.50x = 62,391,521.16
5. Step 5: Solve for x
   x = 62,391,521.16/8,722.50
6. Step 6: Final answer
   x = 7,152.94