Finding the Fourth Proportional to 10,502.18, 14,493 and 5,786.46

Step by Step Solution

1. Step 1: Write the proportion equation
   10,502.18 : 14,493 = 5,786.46 : x
2. Step 2: Convert to fraction form
   10,502.18/14,493 = 5,786.46/x
3. Step 3: Cross multiply
   10,502.18x = 14,493 × 5,786.46
4. Step 4: Simplify right side
   10,502.18x = 83,863,164.78
5. Step 5: Solve for x
   x = 83,863,164.78/10,502.18
6. Step 6: Final answer
   x = 7,985.31