Finding the Fourth Proportional to 1,394.76, 1,924.73 and 765.27

Step by Step Solution

1. Step 1: Write the proportion equation
   1,394.76 : 1,924.73 = 765.27 : x
2. Step 2: Convert to fraction form
   1,394.76/1,924.73 = 765.27/x
3. Step 3: Cross multiply
   1,394.76x = 1,924.73 × 765.27
4. Step 4: Simplify right side
   1,394.76x = 1,472,934.30
5. Step 5: Solve for x
   x = 1,472,934.30/1,394.76
6. Step 6: Final answer
   x = 1,056.05