Finding the Fourth Proportional to 9,546.80, 13,174.70 and 5,769.42

Step by Step Solution

1. Step 1: Write the proportion equation
   9,546.80 : 13,174.70 = 5,769.42 : x
2. Step 2: Convert to fraction form
   9,546.80/13,174.70 = 5,769.42/x
3. Step 3: Cross multiply
   9,546.80x = 13,174.70 × 5,769.42
4. Step 4: Simplify right side
   9,546.80x = 76,010,348.83
5. Step 5: Solve for x
   x = 76,010,348.83/9,546.80
6. Step 6: Final answer
   x = 7,961.87