Finding the Fourth Proportional to 1,205.50, 1,663.59 and 681.67

Step by Step Solution

1. Step 1: Write the proportion equation
   1,205.50 : 1,663.59 = 681.67 : x
2. Step 2: Convert to fraction form
   1,205.50/1,663.59 = 681.67/x
3. Step 3: Cross multiply
   1,205.50x = 1,663.59 × 681.67
4. Step 4: Simplify right side
   1,205.50x = 1,134,019.40
5. Step 5: Solve for x
   x = 1,134,019.40/1,205.50
6. Step 6: Final answer
   x = 940.70