Finding the Fourth Proportional to 1,196.60, 1,649.54 and 841.46

Step by Step Solution

1. Step 1: Write the proportion equation
   1,196.60 : 1,649.54 = 841.46 : x
2. Step 2: Convert to fraction form
   1,196.60/1,649.54 = 841.46/x
3. Step 3: Cross multiply
   1,196.60x = 1,649.54 × 841.46
4. Step 4: Simplify right side
   1,196.60x = 1,388,015.78
5. Step 5: Solve for x
   x = 1,388,015.78/1,196.60
6. Step 6: Final answer
   x = 1,159.97