Finding the Fourth Proportional to 1,205.82, 1,664.00 and 674.75

Step by Step Solution

1. Step 1: Write the proportion equation
   1,205.82 : 1,664.00 = 674.75 : x
2. Step 2: Convert to fraction form
   1,205.82/1,664.00 = 674.75/x
3. Step 3: Cross multiply
   1,205.82x = 1,664.00 × 674.75
4. Step 4: Simplify right side
   1,205.82x = 1,122,786.89
5. Step 5: Solve for x
   x = 1,122,786.89/1,205.82
6. Step 6: Final answer
   x = 931.14