Finding the Fourth Proportional to 1,384.94, 2,078.76 and 769.34

Step by Step Solution

1. Step 1: Write the proportion equation
   1,384.94 : 2,078.76 = 769.34 : x
2. Step 2: Convert to fraction form
   1,384.94/2,078.76 = 769.34/x
3. Step 3: Cross multiply
   1,384.94x = 2,078.76 × 769.34
4. Step 4: Simplify right side
   1,384.94x = 1,599,273.22
5. Step 5: Solve for x
   x = 1,599,273.22/1,384.94
6. Step 6: Final answer
   x = 1,154.76