Finding the Fourth Proportional to 1,055.52, 1,456.58 and 583.40

Step by Step Solution

1. Step 1: Write the proportion equation
   1,055.52 : 1,456.58 = 583.40 : x
2. Step 2: Convert to fraction form
   1,055.52/1,456.58 = 583.40/x
3. Step 3: Cross multiply
   1,055.52x = 1,456.58 × 583.40
4. Step 4: Simplify right side
   1,055.52x = 849,758.57
5. Step 5: Solve for x
   x = 849,758.57/1,055.52
6. Step 6: Final answer
   x = 805.06