Finding the Fourth Proportional to 1,194.48, 1,648.83 and 801.72

Step by Step Solution

1. Step 1: Write the proportion equation
   1,194.48 : 1,648.83 = 801.72 : x
2. Step 2: Convert to fraction form
   1,194.48/1,648.83 = 801.72/x
3. Step 3: Cross multiply
   1,194.48x = 1,648.83 × 801.72
4. Step 4: Simplify right side
   1,194.48x = 1,321,899.99
5. Step 5: Solve for x
   x = 1,321,899.99/1,194.48
6. Step 6: Final answer
   x = 1,106.67