Finding the Fourth Proportional to 3,678.23, 5,511.58 and 1,826.57

Step by Step Solution

1. Step 1: Write the proportion equation
   3,678.23 : 5,511.58 = 1,826.57 : x
2. Step 2: Convert to fraction form
   3,678.23/5,511.58 = 1,826.57/x
3. Step 3: Cross multiply
   3,678.23x = 5,511.58 × 1,826.57
4. Step 4: Simplify right side
   3,678.23x = 10,067,295.89
5. Step 5: Solve for x
   x = 10,067,295.89/3,678.23
6. Step 6: Final answer
   x = 2,736.99