Finding the Fourth Proportional to 1,153.07, 1,589.27 and 774.27

Step by Step Solution

1. Step 1: Write the proportion equation
   1,153.07 : 1,589.27 = 774.27 : x
2. Step 2: Convert to fraction form
   1,153.07/1,589.27 = 774.27/x
3. Step 3: Cross multiply
   1,153.07x = 1,589.27 × 774.27
4. Step 4: Simplify right side
   1,153.07x = 1,230,526.86
5. Step 5: Solve for x
   x = 1,230,526.86/1,153.07
6. Step 6: Final answer
   x = 1,067.18