Finding the Fourth Proportional to 3,096.82, 4,642.80 and 1,147.96

Step by Step Solution

1. Step 1: Write the proportion equation
   3,096.82 : 4,642.80 = 1,147.96 : x
2. Step 2: Convert to fraction form
   3,096.82/4,642.80 = 1,147.96/x
3. Step 3: Cross multiply
   3,096.82x = 4,642.80 × 1,147.96
4. Step 4: Simplify right side
   3,096.82x = 5,329,748.69
5. Step 5: Solve for x
   x = 5,329,748.69/3,096.82
6. Step 6: Final answer
   x = 1,721.04