Finding the Fourth Proportional to 10,502.03, 14,493.06 and 5,786.31

Step by Step Solution

1. Step 1: Write the proportion equation
   10,502.03 : 14,493.06 = 5,786.31 : x
2. Step 2: Convert to fraction form
   10,502.03/14,493.06 = 5,786.31/x
3. Step 3: Cross multiply
   10,502.03x = 14,493.06 × 5,786.31
4. Step 4: Simplify right side
   10,502.03x = 83,861,265.54
5. Step 5: Solve for x
   x = 83,861,265.54/10,502.03
6. Step 6: Final answer
   x = 7,985.25