Finding the Fourth Proportional to 3,684.20, 5,518.89 and 1,829.70

Step by Step Solution

1. Step 1: Write the proportion equation
   3,684.20 : 5,518.89 = 1,829.70 : x
2. Step 2: Convert to fraction form
   3,684.20/5,518.89 = 1,829.70/x
3. Step 3: Cross multiply
   3,684.20x = 5,518.89 × 1,829.70
4. Step 4: Simplify right side
   3,684.20x = 10,097,913.03
5. Step 5: Solve for x
   x = 10,097,913.03/3,684.20
6. Step 6: Final answer
   x = 2,740.87