Finding the Fourth Proportional to 2,784.02, 3,844.53 and 2,084.18

Step by Step Solution

1. Step 1: Write the proportion equation
   2,784.02 : 3,844.53 = 2,084.18 : x
2. Step 2: Convert to fraction form
   2,784.02/3,844.53 = 2,084.18/x
3. Step 3: Cross multiply
   2,784.02x = 3,844.53 × 2,084.18
4. Step 4: Simplify right side
   2,784.02x = 8,012,692.54
5. Step 5: Solve for x
   x = 8,012,692.54/2,784.02
6. Step 6: Final answer
   x = 2,878.10