Finding the Fourth Proportional to 2,233.50, 3,081.77 and 1,238.57

Step by Step Solution

1. Step 1: Write the proportion equation
   2,233.50 : 3,081.77 = 1,238.57 : x
2. Step 2: Convert to fraction form
   2,233.50/3,081.77 = 1,238.57/x
3. Step 3: Cross multiply
   2,233.50x = 3,081.77 × 1,238.57
4. Step 4: Simplify right side
   2,233.50x = 3,816,977.28
5. Step 5: Solve for x
   x = 3,816,977.28/2,233.50
6. Step 6: Final answer
   x = 1,708.97