Finding the Fourth Proportional to 5,382.02, 8,066.34 and 3,819.53

Step by Step Solution

1. Step 1: Write the proportion equation
   5,382.02 : 8,066.34 = 3,819.53 : x
2. Step 2: Convert to fraction form
   5,382.02/8,066.34 = 3,819.53/x
3. Step 3: Cross multiply
   5,382.02x = 8,066.34 × 3,819.53
4. Step 4: Simplify right side
   5,382.02x = 30,809,627.62
5. Step 5: Solve for x
   x = 30,809,627.62/5,382.02
6. Step 6: Final answer
   x = 5,724.55