Finding the Fourth Proportional to 13,842.27, 19,100.60 and 7,874.04

Step by Step Solution

1. Step 1: Write the proportion equation
   13,842.27 : 19,100.60 = 7,874.04 : x
2. Step 2: Convert to fraction form
   13,842.27/19,100.60 = 7,874.04/x
3. Step 3: Cross multiply
   13,842.27x = 19,100.60 × 7,874.04
4. Step 4: Simplify right side
   13,842.27x = 150,398,777.97
5. Step 5: Solve for x
   x = 150,398,777.97/13,842.27
6. Step 6: Final answer
   x = 10,865.18