Finding the Fourth Proportional to 19,674, 27,150.12 and 10,842

Step by Step Solution

1. Step 1: Write the proportion equation
   19,674 : 27,150.12 = 10,842 : x
2. Step 2: Convert to fraction form
   19,674/27,150.12 = 10,842/x
3. Step 3: Cross multiply
   19,674x = 27,150.12 × 10,842
4. Step 4: Simplify right side
   19,674x = 294,361,601.04
5. Step 5: Solve for x
   x = 294,361,601.04/19,674
6. Step 6: Final answer
   x = 14,961.96