Finding the Fourth Proportional to 2,417.69, 3,626.67 and 774.10

Step by Step Solution

1. Step 1: Write the proportion equation
   2,417.69 : 3,626.67 = 774.10 : x
2. Step 2: Convert to fraction form
   2,417.69/3,626.67 = 774.10/x
3. Step 3: Cross multiply
   2,417.69x = 3,626.67 × 774.10
4. Step 4: Simplify right side
   2,417.69x = 2,807,405.25
5. Step 5: Solve for x
   x = 2,807,405.25/2,417.69
6. Step 6: Final answer
   x = 1,161.19