Finding the Fourth Proportional to 1,826.21, 2,519.79 and 1,162.82

Step by Step Solution

1. Step 1: Write the proportion equation
   1,826.21 : 2,519.79 = 1,162.82 : x
2. Step 2: Convert to fraction form
   1,826.21/2,519.79 = 1,162.82/x
3. Step 3: Cross multiply
   1,826.21x = 2,519.79 × 1,162.82
4. Step 4: Simplify right side
   1,826.21x = 2,930,045.25
5. Step 5: Solve for x
   x = 2,930,045.25/1,826.21
6. Step 6: Final answer
   x = 1,604.44