Finding the Fourth Proportional to 1,024.52, 1,537.34 and 408.51

Step by Step Solution

1. Step 1: Write the proportion equation
   1,024.52 : 1,537.34 = 408.51 : x
2. Step 2: Convert to fraction form
   1,024.52/1,537.34 = 408.51/x
3. Step 3: Cross multiply
   1,024.52x = 1,537.34 × 408.51
4. Step 4: Simplify right side
   1,024.52x = 628,016.72
5. Step 5: Solve for x
   x = 628,016.72/1,024.52
6. Step 6: Final answer
   x = 612.99