Finding the Fourth Proportional to 1,192.38, 1,789.72 and 576.52

Step by Step Solution

1. Step 1: Write the proportion equation
   1,192.38 : 1,789.72 = 576.52 : x
2. Step 2: Convert to fraction form
   1,192.38/1,789.72 = 576.52/x
3. Step 3: Cross multiply
   1,192.38x = 1,789.72 × 576.52
4. Step 4: Simplify right side
   1,192.38x = 1,031,809.37
5. Step 5: Solve for x
   x = 1,031,809.37/1,192.38
6. Step 6: Final answer
   x = 865.34