Finding the Fourth Proportional to 13,838.65, 19,097.25 and 7,870.30

Step by Step Solution

1. Step 1: Write the proportion equation
   13,838.65 : 19,097.25 = 7,870.30 : x
2. Step 2: Convert to fraction form
   13,838.65/19,097.25 = 7,870.30/x
3. Step 3: Cross multiply
   13,838.65x = 19,097.25 × 7,870.30
4. Step 4: Simplify right side
   13,838.65x = 150,301,086.68
5. Step 5: Solve for x
   x = 150,301,086.68/13,838.65
6. Step 6: Final answer
   x = 10,860.96