Finding the Fourth Proportional to 1,196.92, 1,794.32 and 580.01

Step by Step Solution

1. Step 1: Write the proportion equation
   1,196.92 : 1,794.32 = 580.01 : x
2. Step 2: Convert to fraction form
   1,196.92/1,794.32 = 580.01/x
3. Step 3: Cross multiply
   1,196.92x = 1,794.32 × 580.01
4. Step 4: Simplify right side
   1,196.92x = 1,040,711.67
5. Step 5: Solve for x
   x = 1,040,711.67/1,196.92
6. Step 6: Final answer
   x = 869.49