Finding the Fourth Proportional to 10,535.40, 14,538.96 and 5,755.49

Step by Step Solution

1. Step 1: Write the proportion equation
   10,535.40 : 14,538.96 = 5,755.49 : x
2. Step 2: Convert to fraction form
   10,535.40/14,538.96 = 5,755.49/x
3. Step 3: Cross multiply
   10,535.40x = 14,538.96 × 5,755.49
4. Step 4: Simplify right side
   10,535.40x = 83,678,820.72
5. Step 5: Solve for x
   x = 83,678,820.72/10,535.40
6. Step 6: Final answer
   x = 7,942.63