Finding the Fourth Proportional to 12,854.50, 17,738.39 and 7,189.76

Step by Step Solution

1. Step 1: Write the proportion equation
   12,854.50 : 17,738.39 = 7,189.76 : x
2. Step 2: Convert to fraction form
   12,854.50/17,738.39 = 7,189.76/x
3. Step 3: Cross multiply
   12,854.50x = 17,738.39 × 7,189.76
4. Step 4: Simplify right side
   12,854.50x = 127,534,829.21
5. Step 5: Solve for x
   x = 127,534,829.21/12,854.50
6. Step 6: Final answer
   x = 9,921.42