Finding the Fourth Proportional to 1,120.77, 1,546.75 and 648.82

Step by Step Solution

1. Step 1: Write the proportion equation
   1,120.77 : 1,546.75 = 648.82 : x
2. Step 2: Convert to fraction form
   1,120.77/1,546.75 = 648.82/x
3. Step 3: Cross multiply
   1,120.77x = 1,546.75 × 648.82
4. Step 4: Simplify right side
   1,120.77x = 1,003,562.34
5. Step 5: Solve for x
   x = 1,003,562.34/1,120.77
6. Step 6: Final answer
   x = 895.42