Finding the Fourth Proportional to 6,430.22, 9,644.69 and 4,363.50

Step by Step Solution

1. Step 1: Write the proportion equation
   6,430.22 : 9,644.69 = 4,363.50 : x
2. Step 2: Convert to fraction form
   6,430.22/9,644.69 = 4,363.50/x
3. Step 3: Cross multiply
   6,430.22x = 9,644.69 × 4,363.50
4. Step 4: Simplify right side
   6,430.22x = 42,084,604.82
5. Step 5: Solve for x
   x = 42,084,604.82/6,430.22
6. Step 6: Final answer
   x = 6,544.82