Finding the Fourth Proportional to 13,825.38, 19,078.35 and 7,856.94

Step by Step Solution

1. Step 1: Write the proportion equation
   13,825.38 : 19,078.35 = 7,856.94 : x
2. Step 2: Convert to fraction form
   13,825.38/19,078.35 = 7,856.94/x
3. Step 3: Cross multiply
   13,825.38x = 19,078.35 × 7,856.94
4. Step 4: Simplify right side
   13,825.38x = 149,897,451.25
5. Step 5: Solve for x
   x = 149,897,451.25/13,825.38
6. Step 6: Final answer
   x = 10,842.19