Finding the Fourth Proportional to 2,046.70, 2,824.41 and 1,162.77

Step by Step Solution

1. Step 1: Write the proportion equation
   2,046.70 : 2,824.41 = 1,162.77 : x
2. Step 2: Convert to fraction form
   2,046.70/2,824.41 = 1,162.77/x
3. Step 3: Cross multiply
   2,046.70x = 2,824.41 × 1,162.77
4. Step 4: Simplify right side
   2,046.70x = 3,284,139.22
5. Step 5: Solve for x
   x = 3,284,139.22/2,046.70
6. Step 6: Final answer
   x = 1,604.60