Finding the Fourth Proportional to 32,827.50, 49,241.31 and 8,203.50

Step by Step Solution

1. Step 1: Write the proportion equation
   32,827.50 : 49,241.31 = 8,203.50 : x
2. Step 2: Convert to fraction form
   32,827.50/49,241.31 = 8,203.50/x
3. Step 3: Cross multiply
   32,827.50x = 49,241.31 × 8,203.50
4. Step 4: Simplify right side
   32,827.50x = 403,951,086.59
5. Step 5: Solve for x
   x = 403,951,086.59/32,827.50
6. Step 6: Final answer
   x = 12,305.26