Finding the Fourth Proportional to 9,642.01, 13,297.89 and 7,649.41

Step by Step Solution

1. Step 1: Write the proportion equation
   9,642.01 : 13,297.89 = 7,649.41 : x
2. Step 2: Convert to fraction form
   9,642.01/13,297.89 = 7,649.41/x
3. Step 3: Cross multiply
   9,642.01x = 13,297.89 × 7,649.41
4. Step 4: Simplify right side
   9,642.01x = 101,721,012.74
5. Step 5: Solve for x
   x = 101,721,012.74/9,642.01
6. Step 6: Final answer
   x = 10,549.77