Finding the Fourth Proportional to 10,381.36, 14,325.74 and 5,664.73

Step by Step Solution

1. Step 1: Write the proportion equation
   10,381.36 : 14,325.74 = 5,664.73 : x
2. Step 2: Convert to fraction form
   10,381.36/14,325.74 = 5,664.73/x
3. Step 3: Cross multiply
   10,381.36x = 14,325.74 × 5,664.73
4. Step 4: Simplify right side
   10,381.36x = 81,151,406.25
5. Step 5: Solve for x
   x = 81,151,406.25/10,381.36
6. Step 6: Final answer
   x = 7,817.03