Finding the Fourth Proportional to 1,193.98, 1,789.59 and 576.82

Step by Step Solution

1. Step 1: Write the proportion equation
   1,193.98 : 1,789.59 = 576.82 : x
2. Step 2: Convert to fraction form
   1,193.98/1,789.59 = 576.82/x
3. Step 3: Cross multiply
   1,193.98x = 1,789.59 × 576.82
4. Step 4: Simplify right side
   1,193.98x = 1,032,271.30
5. Step 5: Solve for x
   x = 1,032,271.30/1,193.98
6. Step 6: Final answer
   x = 864.56