Finding the Fourth Proportional to 13,187.34, 19,776.42 and 3,824.82

Step by Step Solution

1. Step 1: Write the proportion equation
   13,187.34 : 19,776.42 = 3,824.82 : x
2. Step 2: Convert to fraction form
   13,187.34/19,776.42 = 3,824.82/x
3. Step 3: Cross multiply
   13,187.34x = 19,776.42 × 3,824.82
4. Step 4: Simplify right side
   13,187.34x = 75,641,246.74
5. Step 5: Solve for x
   x = 75,641,246.74/13,187.34
6. Step 6: Final answer
   x = 5,735.90