Finding the Fourth Proportional to 12,853.50, 17,738.25 and 7,111.02

Step by Step Solution

1. Step 1: Write the proportion equation
   12,853.50 : 17,738.25 = 7,111.02 : x
2. Step 2: Convert to fraction form
   12,853.50/17,738.25 = 7,111.02/x
3. Step 3: Cross multiply
   12,853.50x = 17,738.25 × 7,111.02
4. Step 4: Simplify right side
   12,853.50x = 126,137,050.52
5. Step 5: Solve for x
   x = 126,137,050.52/12,853.50
6. Step 6: Final answer
   x = 9,813.44