Finding the Fourth Proportional to 5,663.69, 7,816.37 and 3,146.21

Step by Step Solution

1. Step 1: Write the proportion equation
   5,663.69 : 7,816.37 = 3,146.21 : x
2. Step 2: Convert to fraction form
   5,663.69/7,816.37 = 3,146.21/x
3. Step 3: Cross multiply
   5,663.69x = 7,816.37 × 3,146.21
4. Step 4: Simplify right side
   5,663.69x = 24,591,942.50
5. Step 5: Solve for x
   x = 24,591,942.50/5,663.69
6. Step 6: Final answer
   x = 4,342.04