Finding the Fourth Proportional to 10,059.66, 15,086.16 and 3,819.42

Step by Step Solution

1. Step 1: Write the proportion equation
   10,059.66 : 15,086.16 = 3,819.42 : x
2. Step 2: Convert to fraction form
   10,059.66/15,086.16 = 3,819.42/x
3. Step 3: Cross multiply
   10,059.66x = 15,086.16 × 3,819.42
4. Step 4: Simplify right side
   10,059.66x = 57,620,381.23
5. Step 5: Solve for x
   x = 57,620,381.23/10,059.66
6. Step 6: Final answer
   x = 5,727.87