Finding the Fourth Proportional to 6,505.50, 9,757.91 and 1,825.83

Step by Step Solution

1. Step 1: Write the proportion equation
   6,505.50 : 9,757.91 = 1,825.83 : x
2. Step 2: Convert to fraction form
   6,505.50/9,757.91 = 1,825.83/x
3. Step 3: Cross multiply
   6,505.50x = 9,757.91 × 1,825.83
4. Step 4: Simplify right side
   6,505.50x = 17,816,275.69
5. Step 5: Solve for x
   x = 17,816,275.69/6,505.50
6. Step 6: Final answer
   x = 2,738.65