Finding the Fourth Proportional to 13,838.79, 19,097.42 and 7,870.45

Step by Step Solution

1. Step 1: Write the proportion equation
   13,838.79 : 19,097.42 = 7,870.45 : x
2. Step 2: Convert to fraction form
   13,838.79/19,097.42 = 7,870.45/x
3. Step 3: Cross multiply
   13,838.79x = 19,097.42 × 7,870.45
4. Step 4: Simplify right side
   13,838.79x = 150,305,289.24
5. Step 5: Solve for x
   x = 150,305,289.24/13,838.79
6. Step 6: Final answer
   x = 10,861.16