Finding the Fourth Proportional to 9,986.79, 13,777.89 and 5,736.30

Step by Step Solution

1. Step 1: Write the proportion equation
   9,986.79 : 13,777.89 = 5,736.30 : x
2. Step 2: Convert to fraction form
   9,986.79/13,777.89 = 5,736.30/x
3. Step 3: Cross multiply
   9,986.79x = 13,777.89 × 5,736.30
4. Step 4: Simplify right side
   9,986.79x = 79,034,110.41
5. Step 5: Solve for x
   x = 79,034,110.41/9,986.79
6. Step 6: Final answer
   x = 7,913.87