Finding the Fourth Proportional to 10,409.58, 14,365.26 and 5,694.12

Step by Step Solution

1. Step 1: Write the proportion equation
   10,409.58 : 14,365.26 = 5,694.12 : x
2. Step 2: Convert to fraction form
   10,409.58/14,365.26 = 5,694.12/x
3. Step 3: Cross multiply
   10,409.58x = 14,365.26 × 5,694.12
4. Step 4: Simplify right side
   10,409.58x = 81,797,514.27
5. Step 5: Solve for x
   x = 81,797,514.27/10,409.58
6. Step 6: Final answer
   x = 7,857.91