Finding the Fourth Proportional to 1,007.72, 1,511.69 and 314.27

Step by Step Solution

1. Step 1: Write the proportion equation
   1,007.72 : 1,511.69 = 314.27 : x
2. Step 2: Convert to fraction form
   1,007.72/1,511.69 = 314.27/x
3. Step 3: Cross multiply
   1,007.72x = 1,511.69 × 314.27
4. Step 4: Simplify right side
   1,007.72x = 475,069.69
5. Step 5: Solve for x
   x = 475,069.69/1,007.72
6. Step 6: Final answer
   x = 471.43