Finding the Fourth Proportional to 9,834.12, 13,571.86 and 5,586.52

Step by Step Solution

1. Step 1: Write the proportion equation
   9,834.12 : 13,571.86 = 5,586.52 : x
2. Step 2: Convert to fraction form
   9,834.12/13,571.86 = 5,586.52/x
3. Step 3: Cross multiply
   9,834.12x = 13,571.86 × 5,586.52
4. Step 4: Simplify right side
   9,834.12x = 75,819,467.33
5. Step 5: Solve for x
   x = 75,819,467.33/9,834.12
6. Step 6: Final answer
   x = 7,709.84