Finding the Fourth Proportional to 13,182.20, 19,770.18 and 3,819.74

Step by Step Solution

1. Step 1: Write the proportion equation
   13,182.20 : 19,770.18 = 3,819.74 : x
2. Step 2: Convert to fraction form
   13,182.20/19,770.18 = 3,819.74/x
3. Step 3: Cross multiply
   13,182.20x = 19,770.18 × 3,819.74
4. Step 4: Simplify right side
   13,182.20x = 75,516,947.35
5. Step 5: Solve for x
   x = 75,516,947.35/13,182.20
6. Step 6: Final answer
   x = 5,728.71