Finding the Fourth Proportional to 1,321.98, 1,823.61 and 842.54

Step by Step Solution

1. Step 1: Write the proportion equation
   1,321.98 : 1,823.61 = 842.54 : x
2. Step 2: Convert to fraction form
   1,321.98/1,823.61 = 842.54/x
3. Step 3: Cross multiply
   1,321.98x = 1,823.61 × 842.54
4. Step 4: Simplify right side
   1,321.98x = 1,536,464.37
5. Step 5: Solve for x
   x = 1,536,464.37/1,321.98
6. Step 6: Final answer
   x = 1,162.24