Finding the Fourth Proportional to 1,146.15, 1,581.75 and 648.81

Step by Step Solution

1. Step 1: Write the proportion equation
   1,146.15 : 1,581.75 = 648.81 : x
2. Step 2: Convert to fraction form
   1,146.15/1,581.75 = 648.81/x
3. Step 3: Cross multiply
   1,146.15x = 1,581.75 × 648.81
4. Step 4: Simplify right side
   1,146.15x = 1,026,255.22
5. Step 5: Solve for x
   x = 1,026,255.22/1,146.15
6. Step 6: Final answer
   x = 895.39