Finding the Fourth Proportional to 10,502.27, 14,493.41 and 5,786.56

Step by Step Solution

1. Step 1: Write the proportion equation
   10,502.27 : 14,493.41 = 5,786.56 : x
2. Step 2: Convert to fraction form
   10,502.27/14,493.41 = 5,786.56/x
3. Step 3: Cross multiply
   10,502.27x = 14,493.41 × 5,786.56
4. Step 4: Simplify right side
   10,502.27x = 83,866,921.40
5. Step 5: Solve for x
   x = 83,866,921.40/10,502.27
6. Step 6: Final answer
   x = 7,985.60