Finding the Fourth Proportional to 2,538.29, 3,806.37 and 894.09

Step by Step Solution

1. Step 1: Write the proportion equation
   2,538.29 : 3,806.37 = 894.09 : x
2. Step 2: Convert to fraction form
   2,538.29/3,806.37 = 894.09/x
3. Step 3: Cross multiply
   2,538.29x = 3,806.37 × 894.09
4. Step 4: Simplify right side
   2,538.29x = 3,403,227.70
5. Step 5: Solve for x
   x = 3,403,227.70/2,538.29
6. Step 6: Final answer
   x = 1,340.76