Finding the Fourth Proportional to 1,101.46, 1,521.57 and 769.78

Step by Step Solution

1. Step 1: Write the proportion equation
   1,101.46 : 1,521.57 = 769.78 : x
2. Step 2: Convert to fraction form
   1,101.46/1,521.57 = 769.78/x
3. Step 3: Cross multiply
   1,101.46x = 1,521.57 × 769.78
4. Step 4: Simplify right side
   1,101.46x = 1,171,274.15
5. Step 5: Solve for x
   x = 1,171,274.15/1,101.46
6. Step 6: Final answer
   x = 1,063.38