Finding the Fourth Proportional to 10,538.12, 14,542.43 and 5,757.90

Step by Step Solution

1. Step 1: Write the proportion equation
   10,538.12 : 14,542.43 = 5,757.90 : x
2. Step 2: Convert to fraction form
   10,538.12/14,542.43 = 5,757.90/x
3. Step 3: Cross multiply
   10,538.12x = 14,542.43 × 5,757.90
4. Step 4: Simplify right side
   10,538.12x = 83,733,828.91
5. Step 5: Solve for x
   x = 83,733,828.91/10,538.12
6. Step 6: Final answer
   x = 7,945.81