Finding the Fourth Proportional to 1,055.91, 1,584.06 and 362.55

Step by Step Solution

1. Step 1: Write the proportion equation
   1,055.91 : 1,584.06 = 362.55 : x
2. Step 2: Convert to fraction form
   1,055.91/1,584.06 = 362.55/x
3. Step 3: Cross multiply
   1,055.91x = 1,584.06 × 362.55
4. Step 4: Simplify right side
   1,055.91x = 574,300.95
5. Step 5: Solve for x
   x = 574,300.95/1,055.91
6. Step 6: Final answer
   x = 543.89