Finding the Fourth Proportional to 1,147.89, 1,584.03 and 650.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,147.89 : 1,584.03 = 650.50 : x
2. Step 2: Convert to fraction form
   1,147.89/1,584.03 = 650.50/x
3. Step 3: Cross multiply
   1,147.89x = 1,584.03 × 650.50
4. Step 4: Simplify right side
   1,147.89x = 1,030,403.59
5. Step 5: Solve for x
   x = 1,030,403.59/1,147.89
6. Step 6: Final answer
   x = 897.65