Finding the Fourth Proportional to 1,504.52, 2,258.82 and 774.56

Step by Step Solution

1. Step 1: Write the proportion equation
   1,504.52 : 2,258.82 = 774.56 : x
2. Step 2: Convert to fraction form
   1,504.52/2,258.82 = 774.56/x
3. Step 3: Cross multiply
   1,504.52x = 2,258.82 × 774.56
4. Step 4: Simplify right side
   1,504.52x = 1,749,591.62
5. Step 5: Solve for x
   x = 1,749,591.62/1,504.52
6. Step 6: Final answer
   x = 1,162.89