Finding the Fourth Proportional to 6,276.50, 8,662.33 and 3,623.90

Step by Step Solution

1. Step 1: Write the proportion equation
   6,276.50 : 8,662.33 = 3,623.90 : x
2. Step 2: Convert to fraction form
   6,276.50/8,662.33 = 3,623.90/x
3. Step 3: Cross multiply
   6,276.50x = 8,662.33 × 3,623.90
4. Step 4: Simplify right side
   6,276.50x = 31,391,411.39
5. Step 5: Solve for x
   x = 31,391,411.39/6,276.50
6. Step 6: Final answer
   x = 5,001.42