Finding the Fourth Proportional to 9,669.48, 13,342.18 and 5,637.16

Step by Step Solution

1. Step 1: Write the proportion equation
   9,669.48 : 13,342.18 = 5,637.16 : x
2. Step 2: Convert to fraction form
   9,669.48/13,342.18 = 5,637.16/x
3. Step 3: Cross multiply
   9,669.48x = 13,342.18 × 5,637.16
4. Step 4: Simplify right side
   9,669.48x = 75,212,003.41
5. Step 5: Solve for x
   x = 75,212,003.41/9,669.48
6. Step 6: Final answer
   x = 7,778.29