Finding the Fourth Proportional to 6,499.56, 9,749.28 and 1,882.56

Step by Step Solution

1. Step 1: Write the proportion equation
   6,499.56 : 9,749.28 = 1,882.56 : x
2. Step 2: Convert to fraction form
   6,499.56/9,749.28 = 1,882.56/x
3. Step 3: Cross multiply
   6,499.56x = 9,749.28 × 1,882.56
4. Step 4: Simplify right side
   6,499.56x = 18,353,604.56
5. Step 5: Solve for x
   x = 18,353,604.56/6,499.56
6. Step 6: Final answer
   x = 2,823.82