Finding the Fourth Proportional to 3,096.82, 4,642.50 and 1,147.66

Step by Step Solution

1. Step 1: Write the proportion equation
   3,096.82 : 4,642.50 = 1,147.66 : x
2. Step 2: Convert to fraction form
   3,096.82/4,642.50 = 1,147.66/x
3. Step 3: Cross multiply
   3,096.82x = 4,642.50 × 1,147.66
4. Step 4: Simplify right side
   3,096.82x = 5,328,011.55
5. Step 5: Solve for x
   x = 5,328,011.55/3,096.82
6. Step 6: Final answer
   x = 1,720.48