Finding the Fourth Proportional to 2,784.47, 3,839.42 and 2,084.63

Step by Step Solution

1. Step 1: Write the proportion equation
   2,784.47 : 3,839.42 = 2,084.63 : x
2. Step 2: Convert to fraction form
   2,784.47/3,839.42 = 2,084.63/x
3. Step 3: Cross multiply
   2,784.47x = 3,839.42 × 2,084.63
4. Step 4: Simplify right side
   2,784.47x = 8,003,759.69
5. Step 5: Solve for x
   x = 8,003,759.69/2,784.47
6. Step 6: Final answer
   x = 2,874.43