Finding the Fourth Proportional to 14,426.24, 21,644.64 and 5,066.96

Step by Step Solution

1. Step 1: Write the proportion equation
   14,426.24 : 21,644.64 = 5,066.96 : x
2. Step 2: Convert to fraction form
   14,426.24/21,644.64 = 5,066.96/x
3. Step 3: Cross multiply
   14,426.24x = 21,644.64 × 5,066.96
4. Step 4: Simplify right side
   14,426.24x = 109,672,525.09
5. Step 5: Solve for x
   x = 109,672,525.09/14,426.24
6. Step 6: Final answer
   x = 7,602.29