Finding the Fourth Proportional to 10,502.54, 14,493.30 and 5,786.72

Step by Step Solution

1. Step 1: Write the proportion equation
   10,502.54 : 14,493.30 = 5,786.72 : x
2. Step 2: Convert to fraction form
   10,502.54/14,493.30 = 5,786.72/x
3. Step 3: Cross multiply
   10,502.54x = 14,493.30 × 5,786.72
4. Step 4: Simplify right side
   10,502.54x = 83,868,668.98
5. Step 5: Solve for x
   x = 83,868,668.98/10,502.54
6. Step 6: Final answer
   x = 7,985.56