Finding the Fourth Proportional to 16,384.22, 22,609.50 and 9,311.30

Step by Step Solution

1. Step 1: Write the proportion equation
   16,384.22 : 22,609.50 = 9,311.30 : x
2. Step 2: Convert to fraction form
   16,384.22/22,609.50 = 9,311.30/x
3. Step 3: Cross multiply
   16,384.22x = 22,609.50 × 9,311.30
4. Step 4: Simplify right side
   16,384.22x = 210,523,837.35
5. Step 5: Solve for x
   x = 210,523,837.35/16,384.22
6. Step 6: Final answer
   x = 12,849.18