Finding the Fourth Proportional to 1,196.29, 1,794.62 and 580.04

Step by Step Solution

1. Step 1: Write the proportion equation
   1,196.29 : 1,794.62 = 580.04 : x
2. Step 2: Convert to fraction form
   1,196.29/1,794.62 = 580.04/x
3. Step 3: Cross multiply
   1,196.29x = 1,794.62 × 580.04
4. Step 4: Simplify right side
   1,196.29x = 1,040,950.59
5. Step 5: Solve for x
   x = 1,040,950.59/1,196.29
6. Step 6: Final answer
   x = 870.15