Finding the Fourth Proportional to 13,892.17, 19,169.98 and 7,842.08

Step by Step Solution

1. Step 1: Write the proportion equation
   13,892.17 : 19,169.98 = 7,842.08 : x
2. Step 2: Convert to fraction form
   13,892.17/19,169.98 = 7,842.08/x
3. Step 3: Cross multiply
   13,892.17x = 19,169.98 × 7,842.08
4. Step 4: Simplify right side
   13,892.17x = 150,332,516.76
5. Step 5: Solve for x
   x = 150,332,516.76/13,892.17
6. Step 6: Final answer
   x = 10,821.38