Finding the Fourth Proportional to 6,499.78, 9,729.47 and 3,530.86

Step by Step Solution

1. Step 1: Write the proportion equation
   6,499.78 : 9,729.47 = 3,530.86 : x
2. Step 2: Convert to fraction form
   6,499.78/9,729.47 = 3,530.86/x
3. Step 3: Cross multiply
   6,499.78x = 9,729.47 × 3,530.86
4. Step 4: Simplify right side
   6,499.78x = 34,353,380.95
5. Step 5: Solve for x
   x = 34,353,380.95/6,499.78
6. Step 6: Final answer
   x = 5,285.32