Finding the Fourth Proportional to 10,410.13, 14,365.68 and 5,694.31

Step by Step Solution

1. Step 1: Write the proportion equation
   10,410.13 : 14,365.68 = 5,694.31 : x
2. Step 2: Convert to fraction form
   10,410.13/14,365.68 = 5,694.31/x
3. Step 3: Cross multiply
   10,410.13x = 14,365.68 × 5,694.31
4. Step 4: Simplify right side
   10,410.13x = 81,802,606.81
5. Step 5: Solve for x
   x = 81,802,606.81/10,410.13
6. Step 6: Final answer
   x = 7,857.98