Finding the Fourth Proportional to 1,146.30, 1,581.94 and 648.96

Step by Step Solution

1. Step 1: Write the proportion equation
   1,146.30 : 1,581.94 = 648.96 : x
2. Step 2: Convert to fraction form
   1,146.30/1,581.94 = 648.96/x
3. Step 3: Cross multiply
   1,146.30x = 1,581.94 × 648.96
4. Step 4: Simplify right side
   1,146.30x = 1,026,615.78
5. Step 5: Solve for x
   x = 1,026,615.78/1,146.30
6. Step 6: Final answer
   x = 895.59