Finding the Fourth Proportional to 9,974.88, 13,764.06 and 5,996.70

Step by Step Solution

1. Step 1: Write the proportion equation
   9,974.88 : 13,764.06 = 5,996.70 : x
2. Step 2: Convert to fraction form
   9,974.88/13,764.06 = 5,996.70/x
3. Step 3: Cross multiply
   9,974.88x = 13,764.06 × 5,996.70
4. Step 4: Simplify right side
   9,974.88x = 82,538,938.60
5. Step 5: Solve for x
   x = 82,538,938.60/9,974.88
6. Step 6: Final answer
   x = 8,274.68