Finding the Fourth Proportional to 14,571.84, 21,851.55 and 5,214.27

Step by Step Solution

1. Step 1: Write the proportion equation
   14,571.84 : 21,851.55 = 5,214.27 : x
2. Step 2: Convert to fraction form
   14,571.84/21,851.55 = 5,214.27/x
3. Step 3: Cross multiply
   14,571.84x = 21,851.55 × 5,214.27
4. Step 4: Simplify right side
   14,571.84x = 113,939,881.62
5. Step 5: Solve for x
   x = 113,939,881.62/14,571.84
6. Step 6: Final answer
   x = 7,819.18