Finding the Fourth Proportional to 10,502.46, 14,493.47 and 5,786.82

Step by Step Solution

1. Step 1: Write the proportion equation
   10,502.46 : 14,493.47 = 5,786.82 : x
2. Step 2: Convert to fraction form
   10,502.46/14,493.47 = 5,786.82/x
3. Step 3: Cross multiply
   10,502.46x = 14,493.47 × 5,786.82
4. Step 4: Simplify right side
   10,502.46x = 83,871,073.13
5. Step 5: Solve for x
   x = 83,871,073.13/10,502.46
6. Step 6: Final answer
   x = 7,985.85