Finding the Fourth Proportional to 14,548.01, 21,824.03 and 5,185.27

Step by Step Solution

1. Step 1: Write the proportion equation
   14,548.01 : 21,824.03 = 5,185.27 : x
2. Step 2: Convert to fraction form
   14,548.01/21,824.03 = 5,185.27/x
3. Step 3: Cross multiply
   14,548.01x = 21,824.03 × 5,185.27
4. Step 4: Simplify right side
   14,548.01x = 113,163,488.04
5. Step 5: Solve for x
   x = 113,163,488.04/14,548.01
6. Step 6: Final answer
   x = 7,778.62