Finding the Fourth Proportional to 2,046.69, 2,824.16 and 1,162.32

Step by Step Solution

1. Step 1: Write the proportion equation
   2,046.69 : 2,824.16 = 1,162.32 : x
2. Step 2: Convert to fraction form
   2,046.69/2,824.16 = 1,162.32/x
3. Step 3: Cross multiply
   2,046.69x = 2,824.16 × 1,162.32
4. Step 4: Simplify right side
   2,046.69x = 3,282,571.84
5. Step 5: Solve for x
   x = 3,282,571.84/2,046.69
6. Step 6: Final answer
   x = 1,603.84