Finding the Fourth Proportional to 10,381.09, 14,325.86 and 5,665.37

Step by Step Solution

1. Step 1: Write the proportion equation
   10,381.09 : 14,325.86 = 5,665.37 : x
2. Step 2: Convert to fraction form
   10,381.09/14,325.86 = 5,665.37/x
3. Step 3: Cross multiply
   10,381.09x = 14,325.86 × 5,665.37
4. Step 4: Simplify right side
   10,381.09x = 81,161,297.47
5. Step 5: Solve for x
   x = 81,161,297.47/10,381.09
6. Step 6: Final answer
   x = 7,818.19