Finding the Fourth Proportional to 1,036.67, 1,553.93 and 774.83

Step by Step Solution

1. Step 1: Write the proportion equation
   1,036.67 : 1,553.93 = 774.83 : x
2. Step 2: Convert to fraction form
   1,036.67/1,553.93 = 774.83/x
3. Step 3: Cross multiply
   1,036.67x = 1,553.93 × 774.83
4. Step 4: Simplify right side
   1,036.67x = 1,204,019.94
5. Step 5: Solve for x
   x = 1,204,019.94/1,036.67
6. Step 6: Final answer
   x = 1,161.44