Finding the Fourth Proportional to 10,502.44, 14,493.36 and 5,786.71

Step by Step Solution

1. Step 1: Write the proportion equation
   10,502.44 : 14,493.36 = 5,786.71 : x
2. Step 2: Convert to fraction form
   10,502.44/14,493.36 = 5,786.71/x
3. Step 3: Cross multiply
   10,502.44x = 14,493.36 × 5,786.71
4. Step 4: Simplify right side
   10,502.44x = 83,868,871.25
5. Step 5: Solve for x
   x = 83,868,871.25/10,502.44
6. Step 6: Final answer
   x = 7,985.66