Finding the Fourth Proportional to 10,409.42, 14,365.23 and 5,693.71

Step by Step Solution

1. Step 1: Write the proportion equation
   10,409.42 : 14,365.23 = 5,693.71 : x
2. Step 2: Convert to fraction form
   10,409.42/14,365.23 = 5,693.71/x
3. Step 3: Cross multiply
   10,409.42x = 14,365.23 × 5,693.71
4. Step 4: Simplify right side
   10,409.42x = 81,791,381.88
5. Step 5: Solve for x
   x = 81,791,381.88/10,409.42
6. Step 6: Final answer
   x = 7,857.44