Finding the Fourth Proportional to 9,784.50, 14,673.67 and 3,209.16

Step by Step Solution

1. Step 1: Write the proportion equation
   9,784.50 : 14,673.67 = 3,209.16 : x
2. Step 2: Convert to fraction form
   9,784.50/14,673.67 = 3,209.16/x
3. Step 3: Cross multiply
   9,784.50x = 14,673.67 × 3,209.16
4. Step 4: Simplify right side
   9,784.50x = 47,090,154.82
5. Step 5: Solve for x
   x = 47,090,154.82/9,784.50
6. Step 6: Final answer
   x = 4,812.73