Finding the Fourth Proportional to 2,585.57, 3,878.37 and 942.12

Step by Step Solution

1. Step 1: Write the proportion equation
   2,585.57 : 3,878.37 = 942.12 : x
2. Step 2: Convert to fraction form
   2,585.57/3,878.37 = 942.12/x
3. Step 3: Cross multiply
   2,585.57x = 3,878.37 × 942.12
4. Step 4: Simplify right side
   2,585.57x = 3,653,889.94
5. Step 5: Solve for x
   x = 3,653,889.94/2,585.57
6. Step 6: Final answer
   x = 1,413.19