Finding the Fourth Proportional to 12,853.89, 17,738.46 and 7,548.80

Step by Step Solution

1. Step 1: Write the proportion equation
   12,853.89 : 17,738.46 = 7,548.80 : x
2. Step 2: Convert to fraction form
   12,853.89/17,738.46 = 7,548.80/x
3. Step 3: Cross multiply
   12,853.89x = 17,738.46 × 7,548.80
4. Step 4: Simplify right side
   12,853.89x = 133,903,998.16
5. Step 5: Solve for x
   x = 133,903,998.16/12,853.89
6. Step 6: Final answer
   x = 10,417.39