Finding the Fourth Proportional to 6,502.56, 9,763.56 and 3,874.52

Step by Step Solution

1. Step 1: Write the proportion equation
   6,502.56 : 9,763.56 = 3,874.52 : x
2. Step 2: Convert to fraction form
   6,502.56/9,763.56 = 3,874.52/x
3. Step 3: Cross multiply
   6,502.56x = 9,763.56 × 3,874.52
4. Step 4: Simplify right side
   6,502.56x = 37,829,059.67
5. Step 5: Solve for x
   x = 37,829,059.67/6,502.56
6. Step 6: Final answer
   x = 5,817.56