Finding the Fourth Proportional to 1,196.48, 1,650.84 and 824.96

Step by Step Solution

1. Step 1: Write the proportion equation
   1,196.48 : 1,650.84 = 824.96 : x
2. Step 2: Convert to fraction form
   1,196.48/1,650.84 = 824.96/x
3. Step 3: Cross multiply
   1,196.48x = 1,650.84 × 824.96
4. Step 4: Simplify right side
   1,196.48x = 1,361,876.97
5. Step 5: Solve for x
   x = 1,361,876.97/1,196.48
6. Step 6: Final answer
   x = 1,138.24