Finding the Fourth Proportional to 14,656.42, 21,984.45 and 3,563.10

Step by Step Solution

1. Step 1: Write the proportion equation
   14,656.42 : 21,984.45 = 3,563.10 : x
2. Step 2: Convert to fraction form
   14,656.42/21,984.45 = 3,563.10/x
3. Step 3: Cross multiply
   14,656.42x = 21,984.45 × 3,563.10
4. Step 4: Simplify right side
   14,656.42x = 78,332,793.80
5. Step 5: Solve for x
   x = 78,332,793.80/14,656.42
6. Step 6: Final answer
   x = 5,344.61