Finding the Fourth Proportional to 9,638.34, 13,299.84 and 5,446.59

Step by Step Solution

1. Step 1: Write the proportion equation
   9,638.34 : 13,299.84 = 5,446.59 : x
2. Step 2: Convert to fraction form
   9,638.34/13,299.84 = 5,446.59/x
3. Step 3: Cross multiply
   9,638.34x = 13,299.84 × 5,446.59
4. Step 4: Simplify right side
   9,638.34x = 72,438,775.55
5. Step 5: Solve for x
   x = 72,438,775.55/9,638.34
6. Step 6: Final answer
   x = 7,515.69