Finding the Fourth Proportional to 2,585.47, 3,878.81 and 942.03

Step by Step Solution

1. Step 1: Write the proportion equation
   2,585.47 : 3,878.81 = 942.03 : x
2. Step 2: Convert to fraction form
   2,585.47/3,878.81 = 942.03/x
3. Step 3: Cross multiply
   2,585.47x = 3,878.81 × 942.03
4. Step 4: Simplify right side
   2,585.47x = 3,653,956.86
5. Step 5: Solve for x
   x = 3,653,956.86/2,585.47
6. Step 6: Final answer
   x = 1,413.27