Finding the Fourth Proportional to 10,502.26, 14,493.12 and 5,786.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,502.26 : 14,493.12 = 5,786.50 : x
2. Step 2: Convert to fraction form
   10,502.26/14,493.12 = 5,786.50/x
3. Step 3: Cross multiply
   10,502.26x = 14,493.12 × 5,786.50
4. Step 4: Simplify right side
   10,502.26x = 83,864,438.88
5. Step 5: Solve for x
   x = 83,864,438.88/10,502.26
6. Step 6: Final answer
   x = 7,985.37