Finding the Fourth Proportional to 1,142.33, 1,714.32 and 411.98

Step by Step Solution

1. Step 1: Write the proportion equation
   1,142.33 : 1,714.32 = 411.98 : x
2. Step 2: Convert to fraction form
   1,142.33/1,714.32 = 411.98/x
3. Step 3: Cross multiply
   1,142.33x = 1,714.32 × 411.98
4. Step 4: Simplify right side
   1,142.33x = 706,265.55
5. Step 5: Solve for x
   x = 706,265.55/1,142.33
6. Step 6: Final answer
   x = 618.27