Finding the Fourth Proportional to 9,638.22, 13,300.38 and 5,446.56

Step by Step Solution

1. Step 1: Write the proportion equation
   9,638.22 : 13,300.38 = 5,446.56 : x
2. Step 2: Convert to fraction form
   9,638.22/13,300.38 = 5,446.56/x
3. Step 3: Cross multiply
   9,638.22x = 13,300.38 × 5,446.56
4. Step 4: Simplify right side
   9,638.22x = 72,441,317.69
5. Step 5: Solve for x
   x = 72,441,317.69/9,638.22
6. Step 6: Final answer
   x = 7,516.05