Finding the Fourth Proportional to 9,986.79, 13,782.47 and 5,738.55

Step by Step Solution

1. Step 1: Write the proportion equation
   9,986.79 : 13,782.47 = 5,738.55 : x
2. Step 2: Convert to fraction form
   9,986.79/13,782.47 = 5,738.55/x
3. Step 3: Cross multiply
   9,986.79x = 13,782.47 × 5,738.55
4. Step 4: Simplify right side
   9,986.79x = 79,091,364.53
5. Step 5: Solve for x
   x = 79,091,364.53/9,986.79
6. Step 6: Final answer
   x = 7,919.60