Finding the Fourth Proportional to 1,148.16, 1,584.52 and 650.82

Step by Step Solution

1. Step 1: Write the proportion equation
   1,148.16 : 1,584.52 = 650.82 : x
2. Step 2: Convert to fraction form
   1,148.16/1,584.52 = 650.82/x
3. Step 3: Cross multiply
   1,148.16x = 1,584.52 × 650.82
4. Step 4: Simplify right side
   1,148.16x = 1,031,237.31
5. Step 5: Solve for x
   x = 1,031,237.31/1,148.16
6. Step 6: Final answer
   x = 898.17