Finding the Fourth Proportional to 9,834.50, 13,571.73 and 5,643.14

Step by Step Solution

1. Step 1: Write the proportion equation
   9,834.50 : 13,571.73 = 5,643.14 : x
2. Step 2: Convert to fraction form
   9,834.50/13,571.73 = 5,643.14/x
3. Step 3: Cross multiply
   9,834.50x = 13,571.73 × 5,643.14
4. Step 4: Simplify right side
   9,834.50x = 76,587,172.43
5. Step 5: Solve for x
   x = 76,587,172.43/9,834.50
6. Step 6: Final answer
   x = 7,787.60