Finding the Fourth Proportional to 1,453.82, 2,005.94 and 864.54

Step by Step Solution

1. Step 1: Write the proportion equation
   1,453.82 : 2,005.94 = 864.54 : x
2. Step 2: Convert to fraction form
   1,453.82/2,005.94 = 864.54/x
3. Step 3: Cross multiply
   1,453.82x = 2,005.94 × 864.54
4. Step 4: Simplify right side
   1,453.82x = 1,734,215.37
5. Step 5: Solve for x
   x = 1,734,215.37/1,453.82
6. Step 6: Final answer
   x = 1,192.87