Finding the Fourth Proportional to 1,027.82, 1,417.83 and 629.69

Step by Step Solution

1. Step 1: Write the proportion equation
   1,027.82 : 1,417.83 = 629.69 : x
2. Step 2: Convert to fraction form
   1,027.82/1,417.83 = 629.69/x
3. Step 3: Cross multiply
   1,027.82x = 1,417.83 × 629.69
4. Step 4: Simplify right side
   1,027.82x = 892,786.28
5. Step 5: Solve for x
   x = 892,786.28/1,027.82
6. Step 6: Final answer
   x = 868.63