Finding the Fourth Proportional to 14,427.72, 21,639.15 and 5,665.14

Step by Step Solution

1. Step 1: Write the proportion equation
   14,427.72 : 21,639.15 = 5,665.14 : x
2. Step 2: Convert to fraction form
   14,427.72/21,639.15 = 5,665.14/x
3. Step 3: Cross multiply
   14,427.72x = 21,639.15 × 5,665.14
4. Step 4: Simplify right side
   14,427.72x = 122,588,814.23
5. Step 5: Solve for x
   x = 122,588,814.23/14,427.72
6. Step 6: Final answer
   x = 8,496.76