Finding the Fourth Proportional to 1,185.23, 1,634.77 and 791.57

Step by Step Solution

1. Step 1: Write the proportion equation
   1,185.23 : 1,634.77 = 791.57 : x
2. Step 2: Convert to fraction form
   1,185.23/1,634.77 = 791.57/x
3. Step 3: Cross multiply
   1,185.23x = 1,634.77 × 791.57
4. Step 4: Simplify right side
   1,185.23x = 1,294,034.89
5. Step 5: Solve for x
   x = 1,294,034.89/1,185.23
6. Step 6: Final answer
   x = 1,091.80