Finding the Fourth Proportional to 6,503.50, 9,753.62 and 1,822.30

Step by Step Solution

1. Step 1: Write the proportion equation
   6,503.50 : 9,753.62 = 1,822.30 : x
2. Step 2: Convert to fraction form
   6,503.50/9,753.62 = 1,822.30/x
3. Step 3: Cross multiply
   6,503.50x = 9,753.62 × 1,822.30
4. Step 4: Simplify right side
   6,503.50x = 17,774,021.73
5. Step 5: Solve for x
   x = 17,774,021.73/6,503.50
6. Step 6: Final answer
   x = 2,732.99