Finding the Fourth Proportional to 9,669.04, 13,343.31 and 5,638.25

Step by Step Solution

1. Step 1: Write the proportion equation
   9,669.04 : 13,343.31 = 5,638.25 : x
2. Step 2: Convert to fraction form
   9,669.04/13,343.31 = 5,638.25/x
3. Step 3: Cross multiply
   9,669.04x = 13,343.31 × 5,638.25
4. Step 4: Simplify right side
   9,669.04x = 75,232,917.61
5. Step 5: Solve for x
   x = 75,232,917.61/9,669.04
6. Step 6: Final answer
   x = 7,780.81