Finding the Fourth Proportional to 10,502.80, 14,493.78 and 5,786.80

Step by Step Solution

1. Step 1: Write the proportion equation
   10,502.80 : 14,493.78 = 5,786.80 : x
2. Step 2: Convert to fraction form
   10,502.80/14,493.78 = 5,786.80/x
3. Step 3: Cross multiply
   10,502.80x = 14,493.78 × 5,786.80
4. Step 4: Simplify right side
   10,502.80x = 83,872,606.10
5. Step 5: Solve for x
   x = 83,872,606.10/10,502.80
6. Step 6: Final answer
   x = 7,985.74