Finding the Fourth Proportional to 2,418.69, 3,628.17 and 775.10

Step by Step Solution

1. Step 1: Write the proportion equation
   2,418.69 : 3,628.17 = 775.10 : x
2. Step 2: Convert to fraction form
   2,418.69/3,628.17 = 775.10/x
3. Step 3: Cross multiply
   2,418.69x = 3,628.17 × 775.10
4. Step 4: Simplify right side
   2,418.69x = 2,812,194.57
5. Step 5: Solve for x
   x = 2,812,194.57/2,418.69
6. Step 6: Final answer
   x = 1,162.69