Finding the Fourth Proportional to 2,586.38, 3,877.27 and 942.62

Step by Step Solution

1. Step 1: Write the proportion equation
   2,586.38 : 3,877.27 = 942.62 : x
2. Step 2: Convert to fraction form
   2,586.38/3,877.27 = 942.62/x
3. Step 3: Cross multiply
   2,586.38x = 3,877.27 × 942.62
4. Step 4: Simplify right side
   2,586.38x = 3,654,792.25
5. Step 5: Solve for x
   x = 3,654,792.25/2,586.38
6. Step 6: Final answer
   x = 1,413.09