Finding the Fourth Proportional to 10,865.46, 16,270.59 and 9,105.84

Step by Step Solution

1. Step 1: Write the proportion equation
   10,865.46 : 16,270.59 = 9,105.84 : x
2. Step 2: Convert to fraction form
   10,865.46/16,270.59 = 9,105.84/x
3. Step 3: Cross multiply
   10,865.46x = 16,270.59 × 9,105.84
4. Step 4: Simplify right side
   10,865.46x = 148,157,389.25
5. Step 5: Solve for x
   x = 148,157,389.25/10,865.46
6. Step 6: Final answer
   x = 13,635.63