Finding the Fourth Proportional to 6,507.69, 9,760.68 and 1,828.05

Step by Step Solution

1. Step 1: Write the proportion equation
   6,507.69 : 9,760.68 = 1,828.05 : x
2. Step 2: Convert to fraction form
   6,507.69/9,760.68 = 1,828.05/x
3. Step 3: Cross multiply
   6,507.69x = 9,760.68 × 1,828.05
4. Step 4: Simplify right side
   6,507.69x = 17,843,011.07
5. Step 5: Solve for x
   x = 17,843,011.07/6,507.69
6. Step 6: Final answer
   x = 2,741.83