Finding the Fourth Proportional to 1,063.29, 1,591.56 and 769.80

Step by Step Solution

1. Step 1: Write the proportion equation
   1,063.29 : 1,591.56 = 769.80 : x
2. Step 2: Convert to fraction form
   1,063.29/1,591.56 = 769.80/x
3. Step 3: Cross multiply
   1,063.29x = 1,591.56 × 769.80
4. Step 4: Simplify right side
   1,063.29x = 1,225,182.89
5. Step 5: Solve for x
   x = 1,225,182.89/1,063.29
6. Step 6: Final answer
   x = 1,152.26