Finding the Fourth Proportional to 1,191.58, 1,644.57 and 911.27

Step by Step Solution

1. Step 1: Write the proportion equation
   1,191.58 : 1,644.57 = 911.27 : x
2. Step 2: Convert to fraction form
   1,191.58/1,644.57 = 911.27/x
3. Step 3: Cross multiply
   1,191.58x = 1,644.57 × 911.27
4. Step 4: Simplify right side
   1,191.58x = 1,498,647.30
5. Step 5: Solve for x
   x = 1,498,647.30/1,191.58
6. Step 6: Final answer
   x = 1,257.70