Finding the Fourth Proportional to 9,982.62, 13,777.29 and 5,790.78

Step by Step Solution

1. Step 1: Write the proportion equation
   9,982.62 : 13,777.29 = 5,790.78 : x
2. Step 2: Convert to fraction form
   9,982.62/13,777.29 = 5,790.78/x
3. Step 3: Cross multiply
   9,982.62x = 13,777.29 × 5,790.78
4. Step 4: Simplify right side
   9,982.62x = 79,781,255.39
5. Step 5: Solve for x
   x = 79,781,255.39/9,982.62
6. Step 6: Final answer
   x = 7,992.02