Finding the Fourth Proportional to 771.82, 1,065.59 and 535.69

Step by Step Solution

1. Step 1: Write the proportion equation
   771.82 : 1,065.59 = 535.69 : x
2. Step 2: Convert to fraction form
   771.82/1,065.59 = 535.69/x
3. Step 3: Cross multiply
   771.82x = 1,065.59 × 535.69
4. Step 4: Simplify right side
   771.82x = 570,825.83
5. Step 5: Solve for x
   x = 570,825.83/771.82
6. Step 6: Final answer
   x = 739.59