Finding the Fourth Proportional to 9,638.52, 13,303.17 and 5,660.52

Step by Step Solution

1. Step 1: Write the proportion equation
   9,638.52 : 13,303.17 = 5,660.52 : x
2. Step 2: Convert to fraction form
   9,638.52/13,303.17 = 5,660.52/x
3. Step 3: Cross multiply
   9,638.52x = 13,303.17 × 5,660.52
4. Step 4: Simplify right side
   9,638.52x = 75,302,859.85
5. Step 5: Solve for x
   x = 75,302,859.85/9,638.52
6. Step 6: Final answer
   x = 7,812.70