Finding the Fourth Proportional to 2,496.50, 3,743.55 and 852.60

Step by Step Solution

1. Step 1: Write the proportion equation
   2,496.50 : 3,743.55 = 852.60 : x
2. Step 2: Convert to fraction form
   2,496.50/3,743.55 = 852.60/x
3. Step 3: Cross multiply
   2,496.50x = 3,743.55 × 852.60
4. Step 4: Simplify right side
   2,496.50x = 3,191,750.73
5. Step 5: Solve for x
   x = 3,191,750.73/2,496.50
6. Step 6: Final answer
   x = 1,278.49