Finding the Fourth Proportional to 10,557.10, 14,568.57 and 5,777.03

Step by Step Solution

1. Step 1: Write the proportion equation
   10,557.10 : 14,568.57 = 5,777.03 : x
2. Step 2: Convert to fraction form
   10,557.10/14,568.57 = 5,777.03/x
3. Step 3: Cross multiply
   10,557.10x = 14,568.57 × 5,777.03
4. Step 4: Simplify right side
   10,557.10x = 84,162,993.10
5. Step 5: Solve for x
   x = 84,162,993.10/10,557.10
6. Step 6: Final answer
   x = 7,972.17