Finding the Fourth Proportional to 9,638.15, 13,300.13 and 5,446.13

Step by Step Solution

1. Step 1: Write the proportion equation
   9,638.15 : 13,300.13 = 5,446.13 : x
2. Step 2: Convert to fraction form
   9,638.15/13,300.13 = 5,446.13/x
3. Step 3: Cross multiply
   9,638.15x = 13,300.13 × 5,446.13
4. Step 4: Simplify right side
   9,638.15x = 72,434,143.27
5. Step 5: Solve for x
   x = 72,434,143.27/9,638.15
6. Step 6: Final answer
   x = 7,515.36