Finding the Fourth Proportional to 1,504.69, 2,258.25 and 774.47

Step by Step Solution

1. Step 1: Write the proportion equation
   1,504.69 : 2,258.25 = 774.47 : x
2. Step 2: Convert to fraction form
   1,504.69/2,258.25 = 774.47/x
3. Step 3: Cross multiply
   1,504.69x = 2,258.25 × 774.47
4. Step 4: Simplify right side
   1,504.69x = 1,748,949.62
5. Step 5: Solve for x
   x = 1,748,949.62/1,504.69
6. Step 6: Final answer
   x = 1,162.33