Finding the Fourth Proportional to 9,646.72, 13,300.80 and 8,152

Step by Step Solution

1. Step 1: Write the proportion equation
   9,646.72 : 13,300.80 = 8,152 : x
2. Step 2: Convert to fraction form
   9,646.72/13,300.80 = 8,152/x
3. Step 3: Cross multiply
   9,646.72x = 13,300.80 × 8,152
4. Step 4: Simplify right side
   9,646.72x = 108,428,121.60
5. Step 5: Solve for x
   x = 108,428,121.60/9,646.72
6. Step 6: Final answer
   x = 11,239.90