Finding the Fourth Proportional to 1,148.62, 1,721.41 and 417.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,148.62 : 1,721.41 = 417.50 : x
2. Step 2: Convert to fraction form
   1,148.62/1,721.41 = 417.50/x
3. Step 3: Cross multiply
   1,148.62x = 1,721.41 × 417.50
4. Step 4: Simplify right side
   1,148.62x = 718,680.59
5. Step 5: Solve for x
   x = 718,680.59/1,148.62
6. Step 6: Final answer
   x = 625.69