Finding the Fourth Proportional to 6,438.72, 9,641.52 and 4,461.53

Step by Step Solution

1. Step 1: Write the proportion equation
   6,438.72 : 9,641.52 = 4,461.53 : x
2. Step 2: Convert to fraction form
   6,438.72/9,641.52 = 4,461.53/x
3. Step 3: Cross multiply
   6,438.72x = 9,641.52 × 4,461.53
4. Step 4: Simplify right side
   6,438.72x = 43,015,930.73
5. Step 5: Solve for x
   x = 43,015,930.73/6,438.72
6. Step 6: Final answer
   x = 6,680.82