Finding the Fourth Proportional to 1,364.24, 1,882.73 and 766.78

Step by Step Solution

1. Step 1: Write the proportion equation
   1,364.24 : 1,882.73 = 766.78 : x
2. Step 2: Convert to fraction form
   1,364.24/1,882.73 = 766.78/x
3. Step 3: Cross multiply
   1,364.24x = 1,882.73 × 766.78
4. Step 4: Simplify right side
   1,364.24x = 1,443,636.92
5. Step 5: Solve for x
   x = 1,443,636.92/1,364.24
6. Step 6: Final answer
   x = 1,058.20