Finding the Fourth Proportional to 10,410.14, 14,365.69 and 5,694.32

Step by Step Solution

1. Step 1: Write the proportion equation
   10,410.14 : 14,365.69 = 5,694.32 : x
2. Step 2: Convert to fraction form
   10,410.14/14,365.69 = 5,694.32/x
3. Step 3: Cross multiply
   10,410.14x = 14,365.69 × 5,694.32
4. Step 4: Simplify right side
   10,410.14x = 81,802,735.58
5. Step 5: Solve for x
   x = 81,802,735.58/10,410.14
6. Step 6: Final answer
   x = 7,857.99