Finding the Fourth Proportional to 10,005.53, 13,806.73 and 5,755.46

Step by Step Solution

1. Step 1: Write the proportion equation
   10,005.53 : 13,806.73 = 5,755.46 : x
2. Step 2: Convert to fraction form
   10,005.53/13,806.73 = 5,755.46/x
3. Step 3: Cross multiply
   10,005.53x = 13,806.73 × 5,755.46
4. Step 4: Simplify right side
   10,005.53x = 79,464,102.37
5. Step 5: Solve for x
   x = 79,464,102.37/10,005.53
6. Step 6: Final answer
   x = 7,942.02