Finding the Fourth Proportional to 1,644.28, 2,463.12 and 765.55

Step by Step Solution

1. Step 1: Write the proportion equation
   1,644.28 : 2,463.12 = 765.55 : x
2. Step 2: Convert to fraction form
   1,644.28/2,463.12 = 765.55/x
3. Step 3: Cross multiply
   1,644.28x = 2,463.12 × 765.55
4. Step 4: Simplify right side
   1,644.28x = 1,885,641.52
5. Step 5: Solve for x
   x = 1,885,641.52/1,644.28
6. Step 6: Final answer
   x = 1,146.79