Finding the Fourth Proportional to 2,624.50, 3,935.51 and 775.25

Step by Step Solution

1. Step 1: Write the proportion equation
   2,624.50 : 3,935.51 = 775.25 : x
2. Step 2: Convert to fraction form
   2,624.50/3,935.51 = 775.25/x
3. Step 3: Cross multiply
   2,624.50x = 3,935.51 × 775.25
4. Step 4: Simplify right side
   2,624.50x = 3,050,989.35
5. Step 5: Solve for x
   x = 3,050,989.35/2,624.50
6. Step 6: Final answer
   x = 1,162.50