Finding the Fourth Proportional to 3,792, 5,688.69 and 1,328.34

Step by Step Solution

1. Step 1: Write the proportion equation
   3,792 : 5,688.69 = 1,328.34 : x
2. Step 2: Convert to fraction form
   3,792/5,688.69 = 1,328.34/x
3. Step 3: Cross multiply
   3,792x = 5,688.69 × 1,328.34
4. Step 4: Simplify right side
   3,792x = 7,556,514.47
5. Step 5: Solve for x
   x = 7,556,514.47/3,792
6. Step 6: Final answer
   x = 1,992.75