Finding the Fourth Proportional to 9,780.43, 14,672.69 and 3,206.10

Step by Step Solution

1. Step 1: Write the proportion equation
   9,780.43 : 14,672.69 = 3,206.10 : x
2. Step 2: Convert to fraction form
   9,780.43/14,672.69 = 3,206.10/x
3. Step 3: Cross multiply
   9,780.43x = 14,672.69 × 3,206.10
4. Step 4: Simplify right side
   9,780.43x = 47,042,111.41
5. Step 5: Solve for x
   x = 47,042,111.41/9,780.43
6. Step 6: Final answer
   x = 4,809.82