Finding the Fourth Proportional to 9,638.28, 13,300.68 and 5,658.69

Step by Step Solution

1. Step 1: Write the proportion equation
   9,638.28 : 13,300.68 = 5,658.69 : x
2. Step 2: Convert to fraction form
   9,638.28/13,300.68 = 5,658.69/x
3. Step 3: Cross multiply
   9,638.28x = 13,300.68 × 5,658.69
4. Step 4: Simplify right side
   9,638.28x = 75,264,424.91
5. Step 5: Solve for x
   x = 75,264,424.91/9,638.28
6. Step 6: Final answer
   x = 7,808.91