Finding the Fourth Proportional to 3,663.40, 5,488.57 and 3,174.16

Step by Step Solution

1. Step 1: Write the proportion equation
   3,663.40 : 5,488.57 = 3,174.16 : x
2. Step 2: Convert to fraction form
   3,663.40/5,488.57 = 3,174.16/x
3. Step 3: Cross multiply
   3,663.40x = 5,488.57 × 3,174.16
4. Step 4: Simplify right side
   3,663.40x = 17,421,589.60
5. Step 5: Solve for x
   x = 17,421,589.60/3,663.40
6. Step 6: Final answer
   x = 4,755.58