Finding the Fourth Proportional to 9,769.37, 14,638.69 and 7,553.62

Step by Step Solution

1. Step 1: Write the proportion equation
   9,769.37 : 14,638.69 = 7,553.62 : x
2. Step 2: Convert to fraction form
   9,769.37/14,638.69 = 7,553.62/x
3. Step 3: Cross multiply
   9,769.37x = 14,638.69 × 7,553.62
4. Step 4: Simplify right side
   9,769.37x = 110,575,074.40
5. Step 5: Solve for x
   x = 110,575,074.40/9,769.37
6. Step 6: Final answer
   x = 11,318.54