Finding the Fourth Proportional to 6,277.50, 8,662.59 and 3,726.90

Step by Step Solution

1. Step 1: Write the proportion equation
   6,277.50 : 8,662.59 = 3,726.90 : x
2. Step 2: Convert to fraction form
   6,277.50/8,662.59 = 3,726.90/x
3. Step 3: Cross multiply
   6,277.50x = 8,662.59 × 3,726.90
4. Step 4: Simplify right side
   6,277.50x = 32,284,606.67
5. Step 5: Solve for x
   x = 32,284,606.67/6,277.50
6. Step 6: Final answer
   x = 5,142.91