Finding the Fourth Proportional to 1,584.27, 2,185.38 and 993.78

Step by Step Solution

1. Step 1: Write the proportion equation
   1,584.27 : 2,185.38 = 993.78 : x
2. Step 2: Convert to fraction form
   1,584.27/2,185.38 = 993.78/x
3. Step 3: Cross multiply
   1,584.27x = 2,185.38 × 993.78
4. Step 4: Simplify right side
   1,584.27x = 2,171,786.94
5. Step 5: Solve for x
   x = 2,171,786.94/1,584.27
6. Step 6: Final answer
   x = 1,370.84