Finding the Fourth Proportional to 2,784.89, 3,841.49 and 1,605.12

Step by Step Solution

1. Step 1: Write the proportion equation
   2,784.89 : 3,841.49 = 1,605.12 : x
2. Step 2: Convert to fraction form
   2,784.89/3,841.49 = 1,605.12/x
3. Step 3: Cross multiply
   2,784.89x = 3,841.49 × 1,605.12
4. Step 4: Simplify right side
   2,784.89x = 6,166,056.44
5. Step 5: Solve for x
   x = 6,166,056.44/2,784.89
6. Step 6: Final answer
   x = 2,214.12