Finding the Fourth Proportional to 1,055.57, 1,456.61 and 583.43

Step by Step Solution

1. Step 1: Write the proportion equation
   1,055.57 : 1,456.61 = 583.43 : x
2. Step 2: Convert to fraction form
   1,055.57/1,456.61 = 583.43/x
3. Step 3: Cross multiply
   1,055.57x = 1,456.61 × 583.43
4. Step 4: Simplify right side
   1,055.57x = 849,819.77
5. Step 5: Solve for x
   x = 849,819.77/1,055.57
6. Step 6: Final answer
   x = 805.09