Finding the Fourth Proportional to 1,155.38, 1,732.94 and 289.69

Step by Step Solution

1. Step 1: Write the proportion equation
   1,155.38 : 1,732.94 = 289.69 : x
2. Step 2: Convert to fraction form
   1,155.38/1,732.94 = 289.69/x
3. Step 3: Cross multiply
   1,155.38x = 1,732.94 × 289.69
4. Step 4: Simplify right side
   1,155.38x = 502,009.61
5. Step 5: Solve for x
   x = 502,009.61/1,155.38
6. Step 6: Final answer
   x = 434.50