Finding the Fourth Proportional to 2,056.14, 3,082.46 and 945.20

Step by Step Solution

1. Step 1: Write the proportion equation
   2,056.14 : 3,082.46 = 945.20 : x
2. Step 2: Convert to fraction form
   2,056.14/3,082.46 = 945.20/x
3. Step 3: Cross multiply
   2,056.14x = 3,082.46 × 945.20
4. Step 4: Simplify right side
   2,056.14x = 2,913,521.05
5. Step 5: Solve for x
   x = 2,913,521.05/2,056.14
6. Step 6: Final answer
   x = 1,416.99