Finding the Fourth Proportional to 1,192.72, 1,646.61 and 801.82

Step by Step Solution

1. Step 1: Write the proportion equation
   1,192.72 : 1,646.61 = 801.82 : x
2. Step 2: Convert to fraction form
   1,192.72/1,646.61 = 801.82/x
3. Step 3: Cross multiply
   1,192.72x = 1,646.61 × 801.82
4. Step 4: Simplify right side
   1,192.72x = 1,320,284.83
5. Step 5: Solve for x
   x = 1,320,284.83/1,192.72
6. Step 6: Final answer
   x = 1,106.95