Finding the Fourth Proportional to 2,784.51, 3,842.10 and 1,665.38

Step by Step Solution

1. Step 1: Write the proportion equation
   2,784.51 : 3,842.10 = 1,665.38 : x
2. Step 2: Convert to fraction form
   2,784.51/3,842.10 = 1,665.38/x
3. Step 3: Cross multiply
   2,784.51x = 3,842.10 × 1,665.38
4. Step 4: Simplify right side
   2,784.51x = 6,398,566.10
5. Step 5: Solve for x
   x = 6,398,566.10/2,784.51
6. Step 6: Final answer
   x = 2,297.91