Finding the Fourth Proportional to 1,205.63, 1,663.83 and 681.83

Step by Step Solution

1. Step 1: Write the proportion equation
   1,205.63 : 1,663.83 = 681.83 : x
2. Step 2: Convert to fraction form
   1,205.63/1,663.83 = 681.83/x
3. Step 3: Cross multiply
   1,205.63x = 1,663.83 × 681.83
4. Step 4: Simplify right side
   1,205.63x = 1,134,440.89
5. Step 5: Solve for x
   x = 1,134,440.89/1,205.63
6. Step 6: Final answer
   x = 940.96