Finding the Fourth Proportional to 12,851.86, 17,734.70 and 7,262.50

Step by Step Solution

1. Step 1: Write the proportion equation
   12,851.86 : 17,734.70 = 7,262.50 : x
2. Step 2: Convert to fraction form
   12,851.86/17,734.70 = 7,262.50/x
3. Step 3: Cross multiply
   12,851.86x = 17,734.70 × 7,262.50
4. Step 4: Simplify right side
   12,851.86x = 128,798,258.75
5. Step 5: Solve for x
   x = 128,798,258.75/12,851.86
6. Step 6: Final answer
   x = 10,021.76