Finding the Fourth Proportional to 12,854, 17,738.55 and 7,265

Step by Step Solution

1. Step 1: Write the proportion equation
   12,854 : 17,738.55 = 7,265 : x
2. Step 2: Convert to fraction form
   12,854/17,738.55 = 7,265/x
3. Step 3: Cross multiply
   12,854x = 17,738.55 × 7,265
4. Step 4: Simplify right side
   12,854x = 128,870,565.75
5. Step 5: Solve for x
   x = 128,870,565.75/12,854
6. Step 6: Final answer
   x = 10,025.72