Finding the Fourth Proportional to 6,500.50, 8,970.81 and 4,640.74

Step by Step Solution

1. Step 1: Write the proportion equation
   6,500.50 : 8,970.81 = 4,640.74 : x
2. Step 2: Convert to fraction form
   6,500.50/8,970.81 = 4,640.74/x
3. Step 3: Cross multiply
   6,500.50x = 8,970.81 × 4,640.74
4. Step 4: Simplify right side
   6,500.50x = 41,631,196.80
5. Step 5: Solve for x
   x = 41,631,196.80/6,500.50
6. Step 6: Final answer
   x = 6,404.31