Finding the Fourth Proportional to 6,301.50, 8,692.98 and 3,782.40

Step by Step Solution

1. Step 1: Write the proportion equation
   6,301.50 : 8,692.98 = 3,782.40 : x
2. Step 2: Convert to fraction form
   6,301.50/8,692.98 = 3,782.40/x
3. Step 3: Cross multiply
   6,301.50x = 8,692.98 × 3,782.40
4. Step 4: Simplify right side
   6,301.50x = 32,880,327.55
5. Step 5: Solve for x
   x = 32,880,327.55/6,301.50
6. Step 6: Final answer
   x = 5,217.86