Finding the Fourth Proportional to 10,259.41, 14,216.47 and 9,635.17

Step by Step Solution

1. Step 1: Write the proportion equation
   10,259.41 : 14,216.47 = 9,635.17 : x
2. Step 2: Convert to fraction form
   10,259.41/14,216.47 = 9,635.17/x
3. Step 3: Cross multiply
   10,259.41x = 14,216.47 × 9,635.17
4. Step 4: Simplify right side
   10,259.41x = 136,978,105.25
5. Step 5: Solve for x
   x = 136,978,105.25/10,259.41
6. Step 6: Final answer
   x = 13,351.46