Finding the Fourth Proportional to 1,865.40, 2,796.78 and 769.48

Step by Step Solution

1. Step 1: Write the proportion equation
   1,865.40 : 2,796.78 = 769.48 : x
2. Step 2: Convert to fraction form
   1,865.40/2,796.78 = 769.48/x
3. Step 3: Cross multiply
   1,865.40x = 2,796.78 × 769.48
4. Step 4: Simplify right side
   1,865.40x = 2,152,066.27
5. Step 5: Solve for x
   x = 2,152,066.27/1,865.40
6. Step 6: Final answer
   x = 1,153.68