Finding the Fourth Proportional to 1,189.15, 1,641.61 and 791.48

Step by Step Solution

1. Step 1: Write the proportion equation
   1,189.15 : 1,641.61 = 791.48 : x
2. Step 2: Convert to fraction form
   1,189.15/1,641.61 = 791.48/x
3. Step 3: Cross multiply
   1,189.15x = 1,641.61 × 791.48
4. Step 4: Simplify right side
   1,189.15x = 1,299,292.89
5. Step 5: Solve for x
   x = 1,299,292.89/1,189.15
6. Step 6: Final answer
   x = 1,092.62