Finding the Fourth Proportional to 1,189.89, 1,641.67 and 665.82

Step by Step Solution

1. Step 1: Write the proportion equation
   1,189.89 : 1,641.67 = 665.82 : x
2. Step 2: Convert to fraction form
   1,189.89/1,641.67 = 665.82/x
3. Step 3: Cross multiply
   1,189.89x = 1,641.67 × 665.82
4. Step 4: Simplify right side
   1,189.89x = 1,093,055.05
5. Step 5: Solve for x
   x = 1,093,055.05/1,189.89
6. Step 6: Final answer
   x = 918.62