Finding the Fourth Proportional to 9,791.50, 13,512.27 and 5,599.75

Step by Step Solution

1. Step 1: Write the proportion equation
   9,791.50 : 13,512.27 = 5,599.75 : x
2. Step 2: Convert to fraction form
   9,791.50/13,512.27 = 5,599.75/x
3. Step 3: Cross multiply
   9,791.50x = 13,512.27 × 5,599.75
4. Step 4: Simplify right side
   9,791.50x = 75,665,333.93
5. Step 5: Solve for x
   x = 75,665,333.93/9,791.50
6. Step 6: Final answer
   x = 7,727.66