Finding the Fourth Proportional to 2,464.82, 3,697.25 and 776.22

Step by Step Solution

1. Step 1: Write the proportion equation
   2,464.82 : 3,697.25 = 776.22 : x
2. Step 2: Convert to fraction form
   2,464.82/3,697.25 = 776.22/x
3. Step 3: Cross multiply
   2,464.82x = 3,697.25 × 776.22
4. Step 4: Simplify right side
   2,464.82x = 2,869,879.40
5. Step 5: Solve for x
   x = 2,869,879.40/2,464.82
6. Step 6: Final answer
   x = 1,164.34