Finding the Fourth Proportional to 1,196.24, 1,791.77 and 578.65

Step by Step Solution

1. Step 1: Write the proportion equation
   1,196.24 : 1,791.77 = 578.65 : x
2. Step 2: Convert to fraction form
   1,196.24/1,791.77 = 578.65/x
3. Step 3: Cross multiply
   1,196.24x = 1,791.77 × 578.65
4. Step 4: Simplify right side
   1,196.24x = 1,036,800.34
5. Step 5: Solve for x
   x = 1,036,800.34/1,196.24
6. Step 6: Final answer
   x = 866.71