Finding the Fourth Proportional to 6,306, 8,702.55 and 3,511.50

Step by Step Solution

1. Step 1: Write the proportion equation
   6,306 : 8,702.55 = 3,511.50 : x
2. Step 2: Convert to fraction form
   6,306/8,702.55 = 3,511.50/x
3. Step 3: Cross multiply
   6,306x = 8,702.55 × 3,511.50
4. Step 4: Simplify right side
   6,306x = 30,559,004.33
5. Step 5: Solve for x
   x = 30,559,004.33/6,306
6. Step 6: Final answer
   x = 4,846.02