Finding the Fourth Proportional to 3,693.78, 5,537.73 and 1,843.92

Step by Step Solution

1. Step 1: Write the proportion equation
   3,693.78 : 5,537.73 = 1,843.92 : x
2. Step 2: Convert to fraction form
   3,693.78/5,537.73 = 1,843.92/x
3. Step 3: Cross multiply
   3,693.78x = 5,537.73 × 1,843.92
4. Step 4: Simplify right side
   3,693.78x = 10,211,131.10
5. Step 5: Solve for x
   x = 10,211,131.10/3,693.78
6. Step 6: Final answer
   x = 2,764.41