Finding the Fourth Proportional to 2,046.57, 2,824.16 and 1,162.25

Step by Step Solution

1. Step 1: Write the proportion equation
   2,046.57 : 2,824.16 = 1,162.25 : x
2. Step 2: Convert to fraction form
   2,046.57/2,824.16 = 1,162.25/x
3. Step 3: Cross multiply
   2,046.57x = 2,824.16 × 1,162.25
4. Step 4: Simplify right side
   2,046.57x = 3,282,379.96
5. Step 5: Solve for x
   x = 3,282,379.96/2,046.57
6. Step 6: Final answer
   x = 1,603.84