Finding the Fourth Proportional to 6,553.29, 9,046.60 and 4,196.78

Step by Step Solution

1. Step 1: Write the proportion equation
   6,553.29 : 9,046.60 = 4,196.78 : x
2. Step 2: Convert to fraction form
   6,553.29/9,046.60 = 4,196.78/x
3. Step 3: Cross multiply
   6,553.29x = 9,046.60 × 4,196.78
4. Step 4: Simplify right side
   6,553.29x = 37,966,544.72
5. Step 5: Solve for x
   x = 37,966,544.72/6,553.29
6. Step 6: Final answer
   x = 5,793.51