Finding the Fourth Proportional to 6,493.69, 9,733.38 and 4,146.31

Step by Step Solution

1. Step 1: Write the proportion equation
   6,493.69 : 9,733.38 = 4,146.31 : x
2. Step 2: Convert to fraction form
   6,493.69/9,733.38 = 4,146.31/x
3. Step 3: Cross multiply
   6,493.69x = 9,733.38 × 4,146.31
4. Step 4: Simplify right side
   6,493.69x = 40,357,610.83
5. Step 5: Solve for x
   x = 40,357,610.83/6,493.69
6. Step 6: Final answer
   x = 6,214.90