Finding the Fourth Proportional to 1,146.16, 1,581.52 and 648.68

Step by Step Solution

1. Step 1: Write the proportion equation
   1,146.16 : 1,581.52 = 648.68 : x
2. Step 2: Convert to fraction form
   1,146.16/1,581.52 = 648.68/x
3. Step 3: Cross multiply
   1,146.16x = 1,581.52 × 648.68
4. Step 4: Simplify right side
   1,146.16x = 1,025,900.39
5. Step 5: Solve for x
   x = 1,025,900.39/1,146.16
6. Step 6: Final answer
   x = 895.08