Finding the Fourth Proportional to 2,111.40, 3,167.84 and 942.24

Step by Step Solution

1. Step 1: Write the proportion equation
   2,111.40 : 3,167.84 = 942.24 : x
2. Step 2: Convert to fraction form
   2,111.40/3,167.84 = 942.24/x
3. Step 3: Cross multiply
   2,111.40x = 3,167.84 × 942.24
4. Step 4: Simplify right side
   2,111.40x = 2,984,845.01
5. Step 5: Solve for x
   x = 2,984,845.01/2,111.40
6. Step 6: Final answer
   x = 1,413.68