Finding the Fourth Proportional to 2,523.75, 3,785.46 and 942.16

Step by Step Solution

1. Step 1: Write the proportion equation
   2,523.75 : 3,785.46 = 942.16 : x
2. Step 2: Convert to fraction form
   2,523.75/3,785.46 = 942.16/x
3. Step 3: Cross multiply
   2,523.75x = 3,785.46 × 942.16
4. Step 4: Simplify right side
   2,523.75x = 3,566,504.40
5. Step 5: Solve for x
   x = 3,566,504.40/2,523.75
6. Step 6: Final answer
   x = 1,413.18