Finding the Fourth Proportional to 13,218.82, 19,825.16 and 3,856.87

Step by Step Solution

1. Step 1: Write the proportion equation
   13,218.82 : 19,825.16 = 3,856.87 : x
2. Step 2: Convert to fraction form
   13,218.82/19,825.16 = 3,856.87/x
3. Step 3: Cross multiply
   13,218.82x = 19,825.16 × 3,856.87
4. Step 4: Simplify right side
   13,218.82x = 76,462,958.83
5. Step 5: Solve for x
   x = 76,462,958.83/13,218.82
6. Step 6: Final answer
   x = 5,784.40