Finding the Fourth Proportional to 2,096.88, 3,145.40 and 942.64

Step by Step Solution

1. Step 1: Write the proportion equation
   2,096.88 : 3,145.40 = 942.64 : x
2. Step 2: Convert to fraction form
   2,096.88/3,145.40 = 942.64/x
3. Step 3: Cross multiply
   2,096.88x = 3,145.40 × 942.64
4. Step 4: Simplify right side
   2,096.88x = 2,964,979.86
5. Step 5: Solve for x
   x = 2,964,979.86/2,096.88
6. Step 6: Final answer
   x = 1,414.00