Finding the Fourth Proportional to 13,838.34, 19,096.81 and 7,870.01

Step by Step Solution

1. Step 1: Write the proportion equation
   13,838.34 : 19,096.81 = 7,870.01 : x
2. Step 2: Convert to fraction form
   13,838.34/19,096.81 = 7,870.01/x
3. Step 3: Cross multiply
   13,838.34x = 19,096.81 × 7,870.01
4. Step 4: Simplify right side
   13,838.34x = 150,292,014.78
5. Step 5: Solve for x
   x = 150,292,014.78/13,838.34
6. Step 6: Final answer
   x = 10,860.55