Finding the Fourth Proportional to 32,829.50, 49,244.31 and 8,205.50

Step by Step Solution

1. Step 1: Write the proportion equation
   32,829.50 : 49,244.31 = 8,205.50 : x
2. Step 2: Convert to fraction form
   32,829.50/49,244.31 = 8,205.50/x
3. Step 3: Cross multiply
   32,829.50x = 49,244.31 × 8,205.50
4. Step 4: Simplify right side
   32,829.50x = 404,074,185.71
5. Step 5: Solve for x
   x = 404,074,185.71/32,829.50
6. Step 6: Final answer
   x = 12,308.26