Finding the Fourth Proportional to 3,734.50, 5,153.61 and 2,078.50

Step by Step Solution

1. Step 1: Write the proportion equation
   3,734.50 : 5,153.61 = 2,078.50 : x
2. Step 2: Convert to fraction form
   3,734.50/5,153.61 = 2,078.50/x
3. Step 3: Cross multiply
   3,734.50x = 5,153.61 × 2,078.50
4. Step 4: Simplify right side
   3,734.50x = 10,711,778.39
5. Step 5: Solve for x
   x = 10,711,778.39/3,734.50
6. Step 6: Final answer
   x = 2,868.33