Finding the Fourth Proportional to 9,834.78, 13,571.47 and 5,585.73

Step by Step Solution

1. Step 1: Write the proportion equation
   9,834.78 : 13,571.47 = 5,585.73 : x
2. Step 2: Convert to fraction form
   9,834.78/13,571.47 = 5,585.73/x
3. Step 3: Cross multiply
   9,834.78x = 13,571.47 × 5,585.73
4. Step 4: Simplify right side
   9,834.78x = 75,806,567.12
5. Step 5: Solve for x
   x = 75,806,567.12/9,834.78
6. Step 6: Final answer
   x = 7,708.01