Finding the Fourth Proportional to 2,624.53, 3,937.37 and 775.79

Step by Step Solution

1. Step 1: Write the proportion equation
   2,624.53 : 3,937.37 = 775.79 : x
2. Step 2: Convert to fraction form
   2,624.53/3,937.37 = 775.79/x
3. Step 3: Cross multiply
   2,624.53x = 3,937.37 × 775.79
4. Step 4: Simplify right side
   2,624.53x = 3,054,559.55
5. Step 5: Solve for x
   x = 3,054,559.55/2,624.53
6. Step 6: Final answer
   x = 1,163.85