Finding the Fourth Proportional to 1,146.12, 1,581.72 and 648.80

Step by Step Solution

1. Step 1: Write the proportion equation
   1,146.12 : 1,581.72 = 648.80 : x
2. Step 2: Convert to fraction form
   1,146.12/1,581.72 = 648.80/x
3. Step 3: Cross multiply
   1,146.12x = 1,581.72 × 648.80
4. Step 4: Simplify right side
   1,146.12x = 1,026,219.94
5. Step 5: Solve for x
   x = 1,026,219.94/1,146.12
6. Step 6: Final answer
   x = 895.39