Finding the Fourth Proportional to 10,409.30, 14,365.18 and 5,693.58

Step by Step Solution

1. Step 1: Write the proportion equation
   10,409.30 : 14,365.18 = 5,693.58 : x
2. Step 2: Convert to fraction form
   10,409.30/14,365.18 = 5,693.58/x
3. Step 3: Cross multiply
   10,409.30x = 14,365.18 × 5,693.58
4. Step 4: Simplify right side
   10,409.30x = 81,789,287.31
5. Step 5: Solve for x
   x = 81,789,287.31/10,409.30
6. Step 6: Final answer
   x = 7,857.33