Finding the Fourth Proportional to 1,155.16, 1,732.71 and 289.48

Step by Step Solution

1. Step 1: Write the proportion equation
   1,155.16 : 1,732.71 = 289.48 : x
2. Step 2: Convert to fraction form
   1,155.16/1,732.71 = 289.48/x
3. Step 3: Cross multiply
   1,155.16x = 1,732.71 × 289.48
4. Step 4: Simplify right side
   1,155.16x = 501,584.89
5. Step 5: Solve for x
   x = 501,584.89/1,155.16
6. Step 6: Final answer
   x = 434.21