Finding the Fourth Proportional to 14,564.76, 21,848.56 and 5,797.62

Step by Step Solution

1. Step 1: Write the proportion equation
   14,564.76 : 21,848.56 = 5,797.62 : x
2. Step 2: Convert to fraction form
   14,564.76/21,848.56 = 5,797.62/x
3. Step 3: Cross multiply
   14,564.76x = 21,848.56 × 5,797.62
4. Step 4: Simplify right side
   14,564.76x = 126,669,648.43
5. Step 5: Solve for x
   x = 126,669,648.43/14,564.76
6. Step 6: Final answer
   x = 8,697.00