Finding the Fourth Proportional to 1,205.89, 1,664.16 and 681.82

Step by Step Solution

1. Step 1: Write the proportion equation
   1,205.89 : 1,664.16 = 681.82 : x
2. Step 2: Convert to fraction form
   1,205.89/1,664.16 = 681.82/x
3. Step 3: Cross multiply
   1,205.89x = 1,664.16 × 681.82
4. Step 4: Simplify right side
   1,205.89x = 1,134,657.57
5. Step 5: Solve for x
   x = 1,134,657.57/1,205.89
6. Step 6: Final answer
   x = 940.93