Finding the Fourth Proportional to 10,409.20, 14,365.04 and 5,693.48

Step by Step Solution

1. Step 1: Write the proportion equation
   10,409.20 : 14,365.04 = 5,693.48 : x
2. Step 2: Convert to fraction form
   10,409.20/14,365.04 = 5,693.48/x
3. Step 3: Cross multiply
   10,409.20x = 14,365.04 × 5,693.48
4. Step 4: Simplify right side
   10,409.20x = 81,787,021.52
5. Step 5: Solve for x
   x = 81,787,021.52/10,409.20
6. Step 6: Final answer
   x = 7,857.19