Finding the Fourth Proportional to 1,394.77, 1,924.74 and 765.27

Step by Step Solution

1. Step 1: Write the proportion equation
   1,394.77 : 1,924.74 = 765.27 : x
2. Step 2: Convert to fraction form
   1,394.77/1,924.74 = 765.27/x
3. Step 3: Cross multiply
   1,394.77x = 1,924.74 × 765.27
4. Step 4: Simplify right side
   1,394.77x = 1,472,945.78
5. Step 5: Solve for x
   x = 1,472,945.78/1,394.77
6. Step 6: Final answer
   x = 1,056.05