Finding the Fourth Proportional to 12,005.50, 16,564.83 and 7,224.16

Step by Step Solution

1. Step 1: Write the proportion equation
   12,005.50 : 16,564.83 = 7,224.16 : x
2. Step 2: Convert to fraction form
   12,005.50/16,564.83 = 7,224.16/x
3. Step 3: Cross multiply
   12,005.50x = 16,564.83 × 7,224.16
4. Step 4: Simplify right side
   12,005.50x = 119,666,899.47
5. Step 5: Solve for x
   x = 119,666,899.47/12,005.50
6. Step 6: Final answer
   x = 9,967.68