Finding the Fourth Proportional to 2,584.66, 3,877.98 and 942.33

Step by Step Solution

1. Step 1: Write the proportion equation
   2,584.66 : 3,877.98 = 942.33 : x
2. Step 2: Convert to fraction form
   2,584.66/3,877.98 = 942.33/x
3. Step 3: Cross multiply
   2,584.66x = 3,877.98 × 942.33
4. Step 4: Simplify right side
   2,584.66x = 3,654,347.90
5. Step 5: Solve for x
   x = 3,654,347.90/2,584.66
6. Step 6: Final answer
   x = 1,413.86