Finding the Fourth Proportional to 10,409.41, 14,365.00 and 5,693.69

Step by Step Solution

1. Step 1: Write the proportion equation
   10,409.41 : 14,365.00 = 5,693.69 : x
2. Step 2: Convert to fraction form
   10,409.41/14,365.00 = 5,693.69/x
3. Step 3: Cross multiply
   10,409.41x = 14,365.00 × 5,693.69
4. Step 4: Simplify right side
   10,409.41x = 81,789,867.85
5. Step 5: Solve for x
   x = 81,789,867.85/10,409.41
6. Step 6: Final answer
   x = 7,857.30