Finding the Fourth Proportional to 9,306.82, 13,964.00 and 5,976.77

Step by Step Solution

1. Step 1: Write the proportion equation
   9,306.82 : 13,964.00 = 5,976.77 : x
2. Step 2: Convert to fraction form
   9,306.82/13,964.00 = 5,976.77/x
3. Step 3: Cross multiply
   9,306.82x = 13,964.00 × 5,976.77
4. Step 4: Simplify right side
   9,306.82x = 83,459,654.03
5. Step 5: Solve for x
   x = 83,459,654.03/9,306.82
6. Step 6: Final answer
   x = 8,967.58