Finding the Fourth Proportional to 13,842.84, 19,103.57 and 7,874.36

Step by Step Solution

1. Step 1: Write the proportion equation
   13,842.84 : 19,103.57 = 7,874.36 : x
2. Step 2: Convert to fraction form
   13,842.84/19,103.57 = 7,874.36/x
3. Step 3: Cross multiply
   13,842.84x = 19,103.57 × 7,874.36
4. Step 4: Simplify right side
   13,842.84x = 150,428,387.47
5. Step 5: Solve for x
   x = 150,428,387.47/13,842.84
6. Step 6: Final answer
   x = 10,866.87