Finding the Fourth Proportional to 2,056.94, 3,086.78 and 758.40

Step by Step Solution

1. Step 1: Write the proportion equation
   2,056.94 : 3,086.78 = 758.40 : x
2. Step 2: Convert to fraction form
   2,056.94/3,086.78 = 758.40/x
3. Step 3: Cross multiply
   2,056.94x = 3,086.78 × 758.40
4. Step 4: Simplify right side
   2,056.94x = 2,341,010.16
5. Step 5: Solve for x
   x = 2,341,010.16/2,056.94
6. Step 6: Final answer
   x = 1,138.11