Finding the Fourth Proportional to 10,005.34, 13,806.47 and 5,755.27

Step by Step Solution

1. Step 1: Write the proportion equation
   10,005.34 : 13,806.47 = 5,755.27 : x
2. Step 2: Convert to fraction form
   10,005.34/13,806.47 = 5,755.27/x
3. Step 3: Cross multiply
   10,005.34x = 13,806.47 × 5,755.27
4. Step 4: Simplify right side
   10,005.34x = 79,459,935.98
5. Step 5: Solve for x
   x = 79,459,935.98/10,005.34
6. Step 6: Final answer
   x = 7,941.75