Finding the Fourth Proportional to 9,786.56, 14,663.43 and 5,390.69

Step by Step Solution

1. Step 1: Write the proportion equation
   9,786.56 : 14,663.43 = 5,390.69 : x
2. Step 2: Convert to fraction form
   9,786.56/14,663.43 = 5,390.69/x
3. Step 3: Cross multiply
   9,786.56x = 14,663.43 × 5,390.69
4. Step 4: Simplify right side
   9,786.56x = 79,045,932.15
5. Step 5: Solve for x
   x = 79,045,932.15/9,786.56
6. Step 6: Final answer
   x = 8,076.99