Finding the Fourth Proportional to 12,760.50, 17,609.85 and 7,725.63

Step by Step Solution

1. Step 1: Write the proportion equation
   12,760.50 : 17,609.85 = 7,725.63 : x
2. Step 2: Convert to fraction form
   12,760.50/17,609.85 = 7,725.63/x
3. Step 3: Cross multiply
   12,760.50x = 17,609.85 × 7,725.63
4. Step 4: Simplify right side
   12,760.50x = 136,047,185.46
5. Step 5: Solve for x
   x = 136,047,185.46/12,760.50
6. Step 6: Final answer
   x = 10,661.59