Finding the Fourth Proportional to 2,624.23, 3,936.71 and 775.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,624.23 : 3,936.71 = 775.50 : x
2. Step 2: Convert to fraction form
   2,624.23/3,936.71 = 775.50/x
3. Step 3: Cross multiply
   2,624.23x = 3,936.71 × 775.50
4. Step 4: Simplify right side
   2,624.23x = 3,052,918.61
5. Step 5: Solve for x
   x = 3,052,918.61/2,624.23
6. Step 6: Final answer
   x = 1,163.36