Finding the Fourth Proportional to 10,381.44, 14,326.56 and 5,665.92

Step by Step Solution

1. Step 1: Write the proportion equation
   10,381.44 : 14,326.56 = 5,665.92 : x
2. Step 2: Convert to fraction form
   10,381.44/14,326.56 = 5,665.92/x
3. Step 3: Cross multiply
   10,381.44x = 14,326.56 × 5,665.92
4. Step 4: Simplify right side
   10,381.44x = 81,173,142.84
5. Step 5: Solve for x
   x = 81,173,142.84/10,381.44
6. Step 6: Final answer
   x = 7,819.06