Finding the Fourth Proportional to 2,046.48, 2,824.22 and 1,162.32

Step by Step Solution

1. Step 1: Write the proportion equation
   2,046.48 : 2,824.22 = 1,162.32 : x
2. Step 2: Convert to fraction form
   2,046.48/2,824.22 = 1,162.32/x
3. Step 3: Cross multiply
   2,046.48x = 2,824.22 × 1,162.32
4. Step 4: Simplify right side
   2,046.48x = 3,282,647.39
5. Step 5: Solve for x
   x = 3,282,647.39/2,046.48
6. Step 6: Final answer
   x = 1,604.05