Finding the Fourth Proportional to 2,084.50, 3,123.19 and 1,821.60

Step by Step Solution

1. Step 1: Write the proportion equation
   2,084.50 : 3,123.19 = 1,821.60 : x
2. Step 2: Convert to fraction form
   2,084.50/3,123.19 = 1,821.60/x
3. Step 3: Cross multiply
   2,084.50x = 3,123.19 × 1,821.60
4. Step 4: Simplify right side
   2,084.50x = 5,689,205.18
5. Step 5: Solve for x
   x = 5,689,205.18/2,084.50
6. Step 6: Final answer
   x = 2,729.29