Finding the Fourth Proportional to 9,638.01, 13,292.37 and 7,645.41

Step by Step Solution

1. Step 1: Write the proportion equation
   9,638.01 : 13,292.37 = 7,645.41 : x
2. Step 2: Convert to fraction form
   9,638.01/13,292.37 = 7,645.41/x
3. Step 3: Cross multiply
   9,638.01x = 13,292.37 × 7,645.41
4. Step 4: Simplify right side
   9,638.01x = 101,625,618.52
5. Step 5: Solve for x
   x = 101,625,618.52/9,638.01
6. Step 6: Final answer
   x = 10,544.25