Finding the Fourth Proportional to 2,016.14, 3,025.20 and 784.40

Step by Step Solution

1. Step 1: Write the proportion equation
   2,016.14 : 3,025.20 = 784.40 : x
2. Step 2: Convert to fraction form
   2,016.14/3,025.20 = 784.40/x
3. Step 3: Cross multiply
   2,016.14x = 3,025.20 × 784.40
4. Step 4: Simplify right side
   2,016.14x = 2,372,966.88
5. Step 5: Solve for x
   x = 2,372,966.88/2,016.14
6. Step 6: Final answer
   x = 1,176.99