Finding the Fourth Proportional to 1,142.91, 1,713.83 and 412.16

Step by Step Solution

1. Step 1: Write the proportion equation
   1,142.91 : 1,713.83 = 412.16 : x
2. Step 2: Convert to fraction form
   1,142.91/1,713.83 = 412.16/x
3. Step 3: Cross multiply
   1,142.91x = 1,713.83 × 412.16
4. Step 4: Simplify right side
   1,142.91x = 706,361.54
5. Step 5: Solve for x
   x = 706,361.54/1,142.91
6. Step 6: Final answer
   x = 618.04