Finding the Fourth Proportional to 6,294.56, 8,686.50 and 3,500

Step by Step Solution

1. Step 1: Write the proportion equation
   6,294.56 : 8,686.50 = 3,500 : x
2. Step 2: Convert to fraction form
   6,294.56/8,686.50 = 3,500/x
3. Step 3: Cross multiply
   6,294.56x = 8,686.50 × 3,500
4. Step 4: Simplify right side
   6,294.56x = 30,402,750
5. Step 5: Solve for x
   x = 30,402,750/6,294.56
6. Step 6: Final answer
   x = 4,830.00