Finding the Fourth Proportional to 2,096.64, 3,144.98 and 942.12

Step by Step Solution

1. Step 1: Write the proportion equation
   2,096.64 : 3,144.98 = 942.12 : x
2. Step 2: Convert to fraction form
   2,096.64/3,144.98 = 942.12/x
3. Step 3: Cross multiply
   2,096.64x = 3,144.98 × 942.12
4. Step 4: Simplify right side
   2,096.64x = 2,962,948.56
5. Step 5: Solve for x
   x = 2,962,948.56/2,096.64
6. Step 6: Final answer
   x = 1,413.19