Finding the Fourth Proportional to 10,535.37, 14,538.81 and 5,755.38

Step by Step Solution

1. Step 1: Write the proportion equation
   10,535.37 : 14,538.81 = 5,755.38 : x
2. Step 2: Convert to fraction form
   10,535.37/14,538.81 = 5,755.38/x
3. Step 3: Cross multiply
   10,535.37x = 14,538.81 × 5,755.38
4. Step 4: Simplify right side
   10,535.37x = 83,676,376.30
5. Step 5: Solve for x
   x = 83,676,376.30/10,535.37
6. Step 6: Final answer
   x = 7,942.42