Finding the Fourth Proportional to 1,189.82, 1,640.32 and 1,153.51

Step by Step Solution

1. Step 1: Write the proportion equation
   1,189.82 : 1,640.32 = 1,153.51 : x
2. Step 2: Convert to fraction form
   1,189.82/1,640.32 = 1,153.51/x
3. Step 3: Cross multiply
   1,189.82x = 1,640.32 × 1,153.51
4. Step 4: Simplify right side
   1,189.82x = 1,892,118.54
5. Step 5: Solve for x
   x = 1,892,118.54/1,189.82
6. Step 6: Final answer
   x = 1,590.25