Finding the Fourth Proportional to 1,196.02, 1,649.59 and 865.54

Step by Step Solution

1. Step 1: Write the proportion equation
   1,196.02 : 1,649.59 = 865.54 : x
2. Step 2: Convert to fraction form
   1,196.02/1,649.59 = 865.54/x
3. Step 3: Cross multiply
   1,196.02x = 1,649.59 × 865.54
4. Step 4: Simplify right side
   1,196.02x = 1,427,786.13
5. Step 5: Solve for x
   x = 1,427,786.13/1,196.02
6. Step 6: Final answer
   x = 1,193.78