Finding the Fourth Proportional to 13,838.33, 19,097.31 and 7,870.85

Step by Step Solution

1. Step 1: Write the proportion equation
   13,838.33 : 19,097.31 = 7,870.85 : x
2. Step 2: Convert to fraction form
   13,838.33/19,097.31 = 7,870.85/x
3. Step 3: Cross multiply
   13,838.33x = 19,097.31 × 7,870.85
4. Step 4: Simplify right side
   13,838.33x = 150,312,023.06
5. Step 5: Solve for x
   x = 150,312,023.06/13,838.33
6. Step 6: Final answer
   x = 10,862.01