Finding the Fourth Proportional to 1,601.78, 2,391.98 and 1,584.60

Step by Step Solution

1. Step 1: Write the proportion equation
   1,601.78 : 2,391.98 = 1,584.60 : x
2. Step 2: Convert to fraction form
   1,601.78/2,391.98 = 1,584.60/x
3. Step 3: Cross multiply
   1,601.78x = 2,391.98 × 1,584.60
4. Step 4: Simplify right side
   1,601.78x = 3,790,323.59
5. Step 5: Solve for x
   x = 3,790,323.59/1,601.78
6. Step 6: Final answer
   x = 2,366.33