Finding the Fourth Proportional to 9,630.09, 13,288.46 and 5,438.34

Step by Step Solution

1. Step 1: Write the proportion equation
   9,630.09 : 13,288.46 = 5,438.34 : x
2. Step 2: Convert to fraction form
   9,630.09/13,288.46 = 5,438.34/x
3. Step 3: Cross multiply
   9,630.09x = 13,288.46 × 5,438.34
4. Step 4: Simplify right side
   9,630.09x = 72,267,136.36
5. Step 5: Solve for x
   x = 72,267,136.36/9,630.09
6. Step 6: Final answer
   x = 7,504.31