Finding the Fourth Proportional to 10,822.50, 16,150.01 and 9,656.10

Step by Step Solution

1. Step 1: Write the proportion equation
   10,822.50 : 16,150.01 = 9,656.10 : x
2. Step 2: Convert to fraction form
   10,822.50/16,150.01 = 9,656.10/x
3. Step 3: Cross multiply
   10,822.50x = 16,150.01 × 9,656.10
4. Step 4: Simplify right side
   10,822.50x = 155,946,063.28
5. Step 5: Solve for x
   x = 155,946,063.28/10,822.50
6. Step 6: Final answer
   x = 14,409.43