Finding the Fourth Proportional to 9,892.10, 14,874.60 and 8,288.30

Step by Step Solution

1. Step 1: Write the proportion equation
   9,892.10 : 14,874.60 = 8,288.30 : x
2. Step 2: Convert to fraction form
   9,892.10/14,874.60 = 8,288.30/x
3. Step 3: Cross multiply
   9,892.10x = 14,874.60 × 8,288.30
4. Step 4: Simplify right side
   9,892.10x = 123,285,147.18
5. Step 5: Solve for x
   x = 123,285,147.18/9,892.10
6. Step 6: Final answer
   x = 12,462.99