Finding the Fourth Proportional to 2,551.50, 3,827.89 and 727.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,551.50 : 3,827.89 = 727.50 : x
2. Step 2: Convert to fraction form
   2,551.50/3,827.89 = 727.50/x
3. Step 3: Cross multiply
   2,551.50x = 3,827.89 × 727.50
4. Step 4: Simplify right side
   2,551.50x = 2,784,789.98
5. Step 5: Solve for x
   x = 2,784,789.98/2,551.50
6. Step 6: Final answer
   x = 1,091.43