Finding the Fourth Proportional to 13,838.51, 19,097.57 and 7,871.04

Step by Step Solution

1. Step 1: Write the proportion equation
   13,838.51 : 19,097.57 = 7,871.04 : x
2. Step 2: Convert to fraction form
   13,838.51/19,097.57 = 7,871.04/x
3. Step 3: Cross multiply
   13,838.51x = 19,097.57 × 7,871.04
4. Step 4: Simplify right side
   13,838.51x = 150,317,650.27
5. Step 5: Solve for x
   x = 150,317,650.27/13,838.51
6. Step 6: Final answer
   x = 10,862.27