Finding the Fourth Proportional to 1,147.94, 1,584.09 and 650.57

Step by Step Solution

1. Step 1: Write the proportion equation
   1,147.94 : 1,584.09 = 650.57 : x
2. Step 2: Convert to fraction form
   1,147.94/1,584.09 = 650.57/x
3. Step 3: Cross multiply
   1,147.94x = 1,584.09 × 650.57
4. Step 4: Simplify right side
   1,147.94x = 1,030,561.89
5. Step 5: Solve for x
   x = 1,030,561.89/1,147.94
6. Step 6: Final answer
   x = 897.75