Finding the Fourth Proportional to 3,828.50, 5,743.72 and 1,092.50

Step by Step Solution

1. Step 1: Write the proportion equation
   3,828.50 : 5,743.72 = 1,092.50 : x
2. Step 2: Convert to fraction form
   3,828.50/5,743.72 = 1,092.50/x
3. Step 3: Cross multiply
   3,828.50x = 5,743.72 × 1,092.50
4. Step 4: Simplify right side
   3,828.50x = 6,275,014.10
5. Step 5: Solve for x
   x = 6,275,014.10/3,828.50
6. Step 6: Final answer
   x = 1,639.03