Finding the Fourth Proportional to 1,366.29, 1,885.32 and 768.78

Step by Step Solution

1. Step 1: Write the proportion equation
   1,366.29 : 1,885.32 = 768.78 : x
2. Step 2: Convert to fraction form
   1,366.29/1,885.32 = 768.78/x
3. Step 3: Cross multiply
   1,366.29x = 1,885.32 × 768.78
4. Step 4: Simplify right side
   1,366.29x = 1,449,396.31
5. Step 5: Solve for x
   x = 1,449,396.31/1,366.29
6. Step 6: Final answer
   x = 1,060.83