Finding the Fourth Proportional to 1,145.57, 1,717.31 and 414.98

Step by Step Solution

1. Step 1: Write the proportion equation
   1,145.57 : 1,717.31 = 414.98 : x
2. Step 2: Convert to fraction form
   1,145.57/1,717.31 = 414.98/x
3. Step 3: Cross multiply
   1,145.57x = 1,717.31 × 414.98
4. Step 4: Simplify right side
   1,145.57x = 712,649.30
5. Step 5: Solve for x
   x = 712,649.30/1,145.57
6. Step 6: Final answer
   x = 622.09