Finding the Fourth Proportional to 6,499.86, 9,738.67 and 5,466.54

Step by Step Solution

1. Step 1: Write the proportion equation
   6,499.86 : 9,738.67 = 5,466.54 : x
2. Step 2: Convert to fraction form
   6,499.86/9,738.67 = 5,466.54/x
3. Step 3: Cross multiply
   6,499.86x = 9,738.67 × 5,466.54
4. Step 4: Simplify right side
   6,499.86x = 53,236,829.10
5. Step 5: Solve for x
   x = 53,236,829.10/6,499.86
6. Step 6: Final answer
   x = 8,190.46