Finding the Fourth Proportional to 511.82, 705.94 and 315.42

Step by Step Solution

1. Step 1: Write the proportion equation
   511.82 : 705.94 = 315.42 : x
2. Step 2: Convert to fraction form
   511.82/705.94 = 315.42/x
3. Step 3: Cross multiply
   511.82x = 705.94 × 315.42
4. Step 4: Simplify right side
   511.82x = 222,667.59
5. Step 5: Solve for x
   x = 222,667.59/511.82
6. Step 6: Final answer
   x = 435.05