Finding the Fourth Proportional to 1,194.96, 1,648.15 and 801.30

Step by Step Solution

1. Step 1: Write the proportion equation
   1,194.96 : 1,648.15 = 801.30 : x
2. Step 2: Convert to fraction form
   1,194.96/1,648.15 = 801.30/x
3. Step 3: Cross multiply
   1,194.96x = 1,648.15 × 801.30
4. Step 4: Simplify right side
   1,194.96x = 1,320,662.60
5. Step 5: Solve for x
   x = 1,320,662.60/1,194.96
6. Step 6: Final answer
   x = 1,105.19