Finding the Fourth Proportional to 2,257.50, 3,383.17 and 1,159.55

Step by Step Solution

1. Step 1: Write the proportion equation
   2,257.50 : 3,383.17 = 1,159.55 : x
2. Step 2: Convert to fraction form
   2,257.50/3,383.17 = 1,159.55/x
3. Step 3: Cross multiply
   2,257.50x = 3,383.17 × 1,159.55
4. Step 4: Simplify right side
   2,257.50x = 3,922,947.65
5. Step 5: Solve for x
   x = 3,922,947.65/2,257.50
6. Step 6: Final answer
   x = 1,737.74