Finding the Fourth Proportional to 2,546.23, 3,819.94 and 791.14

Step by Step Solution

1. Step 1: Write the proportion equation
   2,546.23 : 3,819.94 = 791.14 : x
2. Step 2: Convert to fraction form
   2,546.23/3,819.94 = 791.14/x
3. Step 3: Cross multiply
   2,546.23x = 3,819.94 × 791.14
4. Step 4: Simplify right side
   2,546.23x = 3,022,107.33
5. Step 5: Solve for x
   x = 3,022,107.33/2,546.23
6. Step 6: Final answer
   x = 1,186.89