Finding the Fourth Proportional to 3,780.39, 5,662.38 and 1,828.50

Step by Step Solution

1. Step 1: Write the proportion equation
   3,780.39 : 5,662.38 = 1,828.50 : x
2. Step 2: Convert to fraction form
   3,780.39/5,662.38 = 1,828.50/x
3. Step 3: Cross multiply
   3,780.39x = 5,662.38 × 1,828.50
4. Step 4: Simplify right side
   3,780.39x = 10,353,661.83
5. Step 5: Solve for x
   x = 10,353,661.83/3,780.39
6. Step 6: Final answer
   x = 2,738.78