Finding the Fourth Proportional to 2,585.52, 3,878.21 and 942.10

Step by Step Solution

1. Step 1: Write the proportion equation
   2,585.52 : 3,878.21 = 942.10 : x
2. Step 2: Convert to fraction form
   2,585.52/3,878.21 = 942.10/x
3. Step 3: Cross multiply
   2,585.52x = 3,878.21 × 942.10
4. Step 4: Simplify right side
   2,585.52x = 3,653,654.30
5. Step 5: Solve for x
   x = 3,653,654.30/2,585.52
6. Step 6: Final answer
   x = 1,413.12