Finding the Fourth Proportional to 10,502.73, 14,493.20 and 5,786.64

Step by Step Solution

1. Step 1: Write the proportion equation
   10,502.73 : 14,493.20 = 5,786.64 : x
2. Step 2: Convert to fraction form
   10,502.73/14,493.20 = 5,786.64/x
3. Step 3: Cross multiply
   10,502.73x = 14,493.20 × 5,786.64
4. Step 4: Simplify right side
   10,502.73x = 83,866,901.91
5. Step 5: Solve for x
   x = 83,866,901.91/10,502.73
6. Step 6: Final answer
   x = 7,985.25