Finding the Fourth Proportional to 1,162.37, 1,603.41 and 830.96

Step by Step Solution

1. Step 1: Write the proportion equation
   1,162.37 : 1,603.41 = 830.96 : x
2. Step 2: Convert to fraction form
   1,162.37/1,603.41 = 830.96/x
3. Step 3: Cross multiply
   1,162.37x = 1,603.41 × 830.96
4. Step 4: Simplify right side
   1,162.37x = 1,332,369.57
5. Step 5: Solve for x
   x = 1,332,369.57/1,162.37
6. Step 6: Final answer
   x = 1,146.25