Finding the Fourth Proportional to 13,191.46, 19,784.45 and 3,829.48

Step by Step Solution

1. Step 1: Write the proportion equation
   13,191.46 : 19,784.45 = 3,829.48 : x
2. Step 2: Convert to fraction form
   13,191.46/19,784.45 = 3,829.48/x
3. Step 3: Cross multiply
   13,191.46x = 19,784.45 × 3,829.48
4. Step 4: Simplify right side
   13,191.46x = 75,764,115.70
5. Step 5: Solve for x
   x = 75,764,115.70/13,191.46
6. Step 6: Final answer
   x = 5,743.42