Finding the Fourth Proportional to 1,146.18, 1,581.66 and 648.88

Step by Step Solution

1. Step 1: Write the proportion equation
   1,146.18 : 1,581.66 = 648.88 : x
2. Step 2: Convert to fraction form
   1,146.18/1,581.66 = 648.88/x
3. Step 3: Cross multiply
   1,146.18x = 1,581.66 × 648.88
4. Step 4: Simplify right side
   1,146.18x = 1,026,307.54
5. Step 5: Solve for x
   x = 1,026,307.54/1,146.18
6. Step 6: Final answer
   x = 895.42