Finding the Fourth Proportional to 1,196.69, 1,652.36 and 824.90

Step by Step Solution

1. Step 1: Write the proportion equation
   1,196.69 : 1,652.36 = 824.90 : x
2. Step 2: Convert to fraction form
   1,196.69/1,652.36 = 824.90/x
3. Step 3: Cross multiply
   1,196.69x = 1,652.36 × 824.90
4. Step 4: Simplify right side
   1,196.69x = 1,363,019.38
5. Step 5: Solve for x
   x = 1,363,019.38/1,196.69
6. Step 6: Final answer
   x = 1,139.00