Finding the Fourth Proportional to 1,182.89, 1,633.21 and 791.05

Step by Step Solution

1. Step 1: Write the proportion equation
   1,182.89 : 1,633.21 = 791.05 : x
2. Step 2: Convert to fraction form
   1,182.89/1,633.21 = 791.05/x
3. Step 3: Cross multiply
   1,182.89x = 1,633.21 × 791.05
4. Step 4: Simplify right side
   1,182.89x = 1,291,950.77
5. Step 5: Solve for x
   x = 1,291,950.77/1,182.89
6. Step 6: Final answer
   x = 1,092.20