Finding the Fourth Proportional to 1,071.33, 1,608.38 and 584.72

Step by Step Solution

1. Step 1: Write the proportion equation
   1,071.33 : 1,608.38 = 584.72 : x
2. Step 2: Convert to fraction form
   1,071.33/1,608.38 = 584.72/x
3. Step 3: Cross multiply
   1,071.33x = 1,608.38 × 584.72
4. Step 4: Simplify right side
   1,071.33x = 940,440.99
5. Step 5: Solve for x
   x = 940,440.99/1,071.33
6. Step 6: Final answer
   x = 877.83