Finding the Fourth Proportional to 10,410.38, 14,366.02 and 5,694.56

Step by Step Solution

1. Step 1: Write the proportion equation
   10,410.38 : 14,366.02 = 5,694.56 : x
2. Step 2: Convert to fraction form
   10,410.38/14,366.02 = 5,694.56/x
3. Step 3: Cross multiply
   10,410.38x = 14,366.02 × 5,694.56
4. Step 4: Simplify right side
   10,410.38x = 81,808,162.85
5. Step 5: Solve for x
   x = 81,808,162.85/10,410.38
6. Step 6: Final answer
   x = 7,858.33