Finding the Fourth Proportional to 1,155.52, 1,733.27 and 289.83

Step by Step Solution

1. Step 1: Write the proportion equation
   1,155.52 : 1,733.27 = 289.83 : x
2. Step 2: Convert to fraction form
   1,155.52/1,733.27 = 289.83/x
3. Step 3: Cross multiply
   1,155.52x = 1,733.27 × 289.83
4. Step 4: Simplify right side
   1,155.52x = 502,351.39
5. Step 5: Solve for x
   x = 502,351.39/1,155.52
6. Step 6: Final answer
   x = 434.74