Finding the Fourth Proportional to 9,638.88, 13,302.34 and 5,861.34

Step by Step Solution

1. Step 1: Write the proportion equation
   9,638.88 : 13,302.34 = 5,861.34 : x
2. Step 2: Convert to fraction form
   9,638.88/13,302.34 = 5,861.34/x
3. Step 3: Cross multiply
   9,638.88x = 13,302.34 × 5,861.34
4. Step 4: Simplify right side
   9,638.88x = 77,969,522.88
5. Step 5: Solve for x
   x = 77,969,522.88/9,638.88
6. Step 6: Final answer
   x = 8,089.07