Finding the Fourth Proportional to 1,055.48, 1,456.54 and 583.42

Step by Step Solution

1. Step 1: Write the proportion equation
   1,055.48 : 1,456.54 = 583.42 : x
2. Step 2: Convert to fraction form
   1,055.48/1,456.54 = 583.42/x
3. Step 3: Cross multiply
   1,055.48x = 1,456.54 × 583.42
4. Step 4: Simplify right side
   1,055.48x = 849,764.37
5. Step 5: Solve for x
   x = 849,764.37/1,055.48
6. Step 6: Final answer
   x = 805.10