Finding the Fourth Proportional to 6,182.02, 8,527.98 and 4,082.50

Step by Step Solution

1. Step 1: Write the proportion equation
   6,182.02 : 8,527.98 = 4,082.50 : x
2. Step 2: Convert to fraction form
   6,182.02/8,527.98 = 4,082.50/x
3. Step 3: Cross multiply
   6,182.02x = 8,527.98 × 4,082.50
4. Step 4: Simplify right side
   6,182.02x = 34,815,478.35
5. Step 5: Solve for x
   x = 34,815,478.35/6,182.02
6. Step 6: Final answer
   x = 5,631.73