Finding the Fourth Proportional to 9,834.84, 13,571.91 and 5,585.94

Step by Step Solution

1. Step 1: Write the proportion equation
   9,834.84 : 13,571.91 = 5,585.94 : x
2. Step 2: Convert to fraction form
   9,834.84/13,571.91 = 5,585.94/x
3. Step 3: Cross multiply
   9,834.84x = 13,571.91 × 5,585.94
4. Step 4: Simplify right side
   9,834.84x = 75,811,874.95
5. Step 5: Solve for x
   x = 75,811,874.95/9,834.84
6. Step 6: Final answer
   x = 7,708.50