Finding the Fourth Proportional to 2,046.26, 2,823.78 and 1,162.14

Step by Step Solution

1. Step 1: Write the proportion equation
   2,046.26 : 2,823.78 = 1,162.14 : x
2. Step 2: Convert to fraction form
   2,046.26/2,823.78 = 1,162.14/x
3. Step 3: Cross multiply
   2,046.26x = 2,823.78 × 1,162.14
4. Step 4: Simplify right side
   2,046.26x = 3,281,627.69
5. Step 5: Solve for x
   x = 3,281,627.69/2,046.26
6. Step 6: Final answer
   x = 1,603.72