Finding the Fourth Proportional to 1,189.32, 1,641.30 and 665.37

Step by Step Solution

1. Step 1: Write the proportion equation
   1,189.32 : 1,641.30 = 665.37 : x
2. Step 2: Convert to fraction form
   1,189.32/1,641.30 = 665.37/x
3. Step 3: Cross multiply
   1,189.32x = 1,641.30 × 665.37
4. Step 4: Simplify right side
   1,189.32x = 1,092,071.78
5. Step 5: Solve for x
   x = 1,092,071.78/1,189.32
6. Step 6: Final answer
   x = 918.23