Finding the Fourth Proportional to 10,502.40, 14,493.24 and 5,786.64

Step by Step Solution

1. Step 1: Write the proportion equation
   10,502.40 : 14,493.24 = 5,786.64 : x
2. Step 2: Convert to fraction form
   10,502.40/14,493.24 = 5,786.64/x
3. Step 3: Cross multiply
   10,502.40x = 14,493.24 × 5,786.64
4. Step 4: Simplify right side
   10,502.40x = 83,867,162.31
5. Step 5: Solve for x
   x = 83,867,162.31/10,502.40
6. Step 6: Final answer
   x = 7,985.52