Finding the Fourth Proportional to 1,467.83, 2,025.49 and 829.73

Step by Step Solution

1. Step 1: Write the proportion equation
   1,467.83 : 2,025.49 = 829.73 : x
2. Step 2: Convert to fraction form
   1,467.83/2,025.49 = 829.73/x
3. Step 3: Cross multiply
   1,467.83x = 2,025.49 × 829.73
4. Step 4: Simplify right side
   1,467.83x = 1,680,595.54
5. Step 5: Solve for x
   x = 1,680,595.54/1,467.83
6. Step 6: Final answer
   x = 1,144.96