Finding the Fourth Proportional to 16,178.64, 22,327.32 and 9,105.84

Step by Step Solution

1. Step 1: Write the proportion equation
   16,178.64 : 22,327.32 = 9,105.84 : x
2. Step 2: Convert to fraction form
   16,178.64/22,327.32 = 9,105.84/x
3. Step 3: Cross multiply
   16,178.64x = 22,327.32 × 9,105.84
4. Step 4: Simplify right side
   16,178.64x = 203,309,003.55
5. Step 5: Solve for x
   x = 203,309,003.55/16,178.64
6. Step 6: Final answer
   x = 12,566.51