Finding the Fourth Proportional to 9,819.50, 14,735.73 and 3,663.50

Step by Step Solution

1. Step 1: Write the proportion equation
   9,819.50 : 14,735.73 = 3,663.50 : x
2. Step 2: Convert to fraction form
   9,819.50/14,735.73 = 3,663.50/x
3. Step 3: Cross multiply
   9,819.50x = 14,735.73 × 3,663.50
4. Step 4: Simplify right side
   9,819.50x = 53,984,346.86
5. Step 5: Solve for x
   x = 53,984,346.86/9,819.50
6. Step 6: Final answer
   x = 5,497.67