Finding the Fourth Proportional to 2,078.84, 3,115.83 and 923.78

Step by Step Solution

1. Step 1: Write the proportion equation
   2,078.84 : 3,115.83 = 923.78 : x
2. Step 2: Convert to fraction form
   2,078.84/3,115.83 = 923.78/x
3. Step 3: Cross multiply
   2,078.84x = 3,115.83 × 923.78
4. Step 4: Simplify right side
   2,078.84x = 2,878,341.44
5. Step 5: Solve for x
   x = 2,878,341.44/2,078.84
6. Step 6: Final answer
   x = 1,384.59