Finding the Fourth Proportional to 10,409.37, 14,365.02 and 5,693.67

Step by Step Solution

1. Step 1: Write the proportion equation
   10,409.37 : 14,365.02 = 5,693.67 : x
2. Step 2: Convert to fraction form
   10,409.37/14,365.02 = 5,693.67/x
3. Step 3: Cross multiply
   10,409.37x = 14,365.02 × 5,693.67
4. Step 4: Simplify right side
   10,409.37x = 81,789,683.42
5. Step 5: Solve for x
   x = 81,789,683.42/10,409.37
6. Step 6: Final answer
   x = 7,857.31