Finding the Fourth Proportional to 9,783.56, 14,677.46 and 3,209.50

Step by Step Solution

1. Step 1: Write the proportion equation
   9,783.56 : 14,677.46 = 3,209.50 : x
2. Step 2: Convert to fraction form
   9,783.56/14,677.46 = 3,209.50/x
3. Step 3: Cross multiply
   9,783.56x = 14,677.46 × 3,209.50
4. Step 4: Simplify right side
   9,783.56x = 47,107,322.20
5. Step 5: Solve for x
   x = 47,107,322.20/9,783.56
6. Step 6: Final answer
   x = 4,814.95