Finding the Fourth Proportional to 1,055.04, 1,582.82 and 405.82

Step by Step Solution

1. Step 1: Write the proportion equation
   1,055.04 : 1,582.82 = 405.82 : x
2. Step 2: Convert to fraction form
   1,055.04/1,582.82 = 405.82/x
3. Step 3: Cross multiply
   1,055.04x = 1,582.82 × 405.82
4. Step 4: Simplify right side
   1,055.04x = 642,340.01
5. Step 5: Solve for x
   x = 642,340.01/1,055.04
6. Step 6: Final answer
   x = 608.83