Finding the Fourth Proportional to 9,986.38, 13,781.82 and 5,738.80

Step by Step Solution

1. Step 1: Write the proportion equation
   9,986.38 : 13,781.82 = 5,738.80 : x
2. Step 2: Convert to fraction form
   9,986.38/13,781.82 = 5,738.80/x
3. Step 3: Cross multiply
   9,986.38x = 13,781.82 × 5,738.80
4. Step 4: Simplify right side
   9,986.38x = 79,091,108.62
5. Step 5: Solve for x
   x = 79,091,108.62/9,986.38
6. Step 6: Final answer
   x = 7,919.90