Finding the Fourth Proportional to 2,624.58, 3,937.32 and 775.80

Step by Step Solution

1. Step 1: Write the proportion equation
   2,624.58 : 3,937.32 = 775.80 : x
2. Step 2: Convert to fraction form
   2,624.58/3,937.32 = 775.80/x
3. Step 3: Cross multiply
   2,624.58x = 3,937.32 × 775.80
4. Step 4: Simplify right side
   2,624.58x = 3,054,572.86
5. Step 5: Solve for x
   x = 3,054,572.86/2,624.58
6. Step 6: Final answer
   x = 1,163.83