Finding the Fourth Proportional to 1,085.54, 1,496.49 and 774.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,085.54 : 1,496.49 = 774.50 : x
2. Step 2: Convert to fraction form
   1,085.54/1,496.49 = 774.50/x
3. Step 3: Cross multiply
   1,085.54x = 1,496.49 × 774.50
4. Step 4: Simplify right side
   1,085.54x = 1,159,031.51
5. Step 5: Solve for x
   x = 1,159,031.51/1,085.54
6. Step 6: Final answer
   x = 1,067.70