Finding the Fourth Proportional to 13,838.04, 19,096.83 and 7,870.37

Step by Step Solution

1. Step 1: Write the proportion equation
   13,838.04 : 19,096.83 = 7,870.37 : x
2. Step 2: Convert to fraction form
   13,838.04/19,096.83 = 7,870.37/x
3. Step 3: Cross multiply
   13,838.04x = 19,096.83 × 7,870.37
4. Step 4: Simplify right side
   13,838.04x = 150,299,022.44
5. Step 5: Solve for x
   x = 150,299,022.44/13,838.04
6. Step 6: Final answer
   x = 10,861.29