Finding the Fourth Proportional to 9,784.09, 13,500.97 and 5,591.53

Step by Step Solution

1. Step 1: Write the proportion equation
   9,784.09 : 13,500.97 = 5,591.53 : x
2. Step 2: Convert to fraction form
   9,784.09/13,500.97 = 5,591.53/x
3. Step 3: Cross multiply
   9,784.09x = 13,500.97 × 5,591.53
4. Step 4: Simplify right side
   9,784.09x = 75,491,078.78
5. Step 5: Solve for x
   x = 75,491,078.78/9,784.09
6. Step 6: Final answer
   x = 7,715.70