Finding the Fourth Proportional to 9,641.01, 13,296.51 and 7,648.41

Step by Step Solution

1. Step 1: Write the proportion equation
   9,641.01 : 13,296.51 = 7,648.41 : x
2. Step 2: Convert to fraction form
   9,641.01/13,296.51 = 7,648.41/x
3. Step 3: Cross multiply
   9,641.01x = 13,296.51 × 7,648.41
4. Step 4: Simplify right side
   9,641.01x = 101,697,160.05
5. Step 5: Solve for x
   x = 101,697,160.05/9,641.01
6. Step 6: Final answer
   x = 10,548.39