Finding the Fourth Proportional to 10,538.06, 14,542.62 and 5,757.87

Step by Step Solution

1. Step 1: Write the proportion equation
   10,538.06 : 14,542.62 = 5,757.87 : x
2. Step 2: Convert to fraction form
   10,538.06/14,542.62 = 5,757.87/x
3. Step 3: Cross multiply
   10,538.06x = 14,542.62 × 5,757.87
4. Step 4: Simplify right side
   10,538.06x = 83,734,515.42
5. Step 5: Solve for x
   x = 83,734,515.42/10,538.06
6. Step 6: Final answer
   x = 7,945.91