Finding the Fourth Proportional to 1,196.00, 1,648.89 and 822.32

Step by Step Solution

1. Step 1: Write the proportion equation
   1,196.00 : 1,648.89 = 822.32 : x
2. Step 2: Convert to fraction form
   1,196.00/1,648.89 = 822.32/x
3. Step 3: Cross multiply
   1,196.00x = 1,648.89 × 822.32
4. Step 4: Simplify right side
   1,196.00x = 1,355,913.16
5. Step 5: Solve for x
   x = 1,355,913.16/1,196.00
6. Step 6: Final answer
   x = 1,133.71