Finding the Fourth Proportional to 1,150.54, 1,587.78 and 646.48

Step by Step Solution

1. Step 1: Write the proportion equation
   1,150.54 : 1,587.78 = 646.48 : x
2. Step 2: Convert to fraction form
   1,150.54/1,587.78 = 646.48/x
3. Step 3: Cross multiply
   1,150.54x = 1,587.78 × 646.48
4. Step 4: Simplify right side
   1,150.54x = 1,026,456.84
5. Step 5: Solve for x
   x = 1,026,456.84/1,150.54
6. Step 6: Final answer
   x = 892.16