Finding the Fourth Proportional to 10,410.39, 14,366.16 and 5,694.57

Step by Step Solution

1. Step 1: Write the proportion equation
   10,410.39 : 14,366.16 = 5,694.57 : x
2. Step 2: Convert to fraction form
   10,410.39/14,366.16 = 5,694.57/x
3. Step 3: Cross multiply
   10,410.39x = 14,366.16 × 5,694.57
4. Step 4: Simplify right side
   10,410.39x = 81,809,103.75
5. Step 5: Solve for x
   x = 81,809,103.75/10,410.39
6. Step 6: Final answer
   x = 7,858.41