Finding the Fourth Proportional to 1,148.09, 1,584.42 and 650.75

Step by Step Solution

1. Step 1: Write the proportion equation
   1,148.09 : 1,584.42 = 650.75 : x
2. Step 2: Convert to fraction form
   1,148.09/1,584.42 = 650.75/x
3. Step 3: Cross multiply
   1,148.09x = 1,584.42 × 650.75
4. Step 4: Simplify right side
   1,148.09x = 1,031,061.32
5. Step 5: Solve for x
   x = 1,031,061.32/1,148.09
6. Step 6: Final answer
   x = 898.07