Finding the Fourth Proportional to 6,502.89, 9,753.72 and 1,823.33

Step by Step Solution

1. Step 1: Write the proportion equation
   6,502.89 : 9,753.72 = 1,823.33 : x
2. Step 2: Convert to fraction form
   6,502.89/9,753.72 = 1,823.33/x
3. Step 3: Cross multiply
   6,502.89x = 9,753.72 × 1,823.33
4. Step 4: Simplify right side
   6,502.89x = 17,784,201.52
5. Step 5: Solve for x
   x = 17,784,201.52/6,502.89
6. Step 6: Final answer
   x = 2,734.82