Finding the Fourth Proportional to 1,019.56, 1,525.98 and 774.73

Step by Step Solution

1. Step 1: Write the proportion equation
   1,019.56 : 1,525.98 = 774.73 : x
2. Step 2: Convert to fraction form
   1,019.56/1,525.98 = 774.73/x
3. Step 3: Cross multiply
   1,019.56x = 1,525.98 × 774.73
4. Step 4: Simplify right side
   1,019.56x = 1,182,222.49
5. Step 5: Solve for x
   x = 1,182,222.49/1,019.56
6. Step 6: Final answer
   x = 1,159.54