Finding the Fourth Proportional to 10,292.56, 14,196.57 and 8,165.10

Step by Step Solution

1. Step 1: Write the proportion equation
   10,292.56 : 14,196.57 = 8,165.10 : x
2. Step 2: Convert to fraction form
   10,292.56/14,196.57 = 8,165.10/x
3. Step 3: Cross multiply
   10,292.56x = 14,196.57 × 8,165.10
4. Step 4: Simplify right side
   10,292.56x = 115,916,436.32
5. Step 5: Solve for x
   x = 115,916,436.32/10,292.56
6. Step 6: Final answer
   x = 11,262.16