Finding the Fourth Proportional to 7,225.50, 9,971.46 and 4,082.16

Step by Step Solution

1. Step 1: Write the proportion equation
   7,225.50 : 9,971.46 = 4,082.16 : x
2. Step 2: Convert to fraction form
   7,225.50/9,971.46 = 4,082.16/x
3. Step 3: Cross multiply
   7,225.50x = 9,971.46 × 4,082.16
4. Step 4: Simplify right side
   7,225.50x = 40,705,095.15
5. Step 5: Solve for x
   x = 40,705,095.15/7,225.50
6. Step 6: Final answer
   x = 5,633.53