Finding the Fourth Proportional to 7,116.50, 9,821.25 and 3,972.76

Step by Step Solution

1. Step 1: Write the proportion equation
   7,116.50 : 9,821.25 = 3,972.76 : x
2. Step 2: Convert to fraction form
   7,116.50/9,821.25 = 3,972.76/x
3. Step 3: Cross multiply
   7,116.50x = 9,821.25 × 3,972.76
4. Step 4: Simplify right side
   7,116.50x = 39,017,469.15
5. Step 5: Solve for x
   x = 39,017,469.15/7,116.50
6. Step 6: Final answer
   x = 5,482.68