Finding the Fourth Proportional to 2,546.38, 3,820.16 and 791.29

Step by Step Solution

1. Step 1: Write the proportion equation
   2,546.38 : 3,820.16 = 791.29 : x
2. Step 2: Convert to fraction form
   2,546.38/3,820.16 = 791.29/x
3. Step 3: Cross multiply
   2,546.38x = 3,820.16 × 791.29
4. Step 4: Simplify right side
   2,546.38x = 3,022,854.41
5. Step 5: Solve for x
   x = 3,022,854.41/2,546.38
6. Step 6: Final answer
   x = 1,187.12