Finding the Fourth Proportional to 1,982.50, 2,735.85 and 1,196.74

Step by Step Solution

1. Step 1: Write the proportion equation
   1,982.50 : 2,735.85 = 1,196.74 : x
2. Step 2: Convert to fraction form
   1,982.50/2,735.85 = 1,196.74/x
3. Step 3: Cross multiply
   1,982.50x = 2,735.85 × 1,196.74
4. Step 4: Simplify right side
   1,982.50x = 3,274,101.13
5. Step 5: Solve for x
   x = 3,274,101.13/1,982.50
6. Step 6: Final answer
   x = 1,651.50