Finding the Fourth Proportional to 6,471.50, 8,930.67 and 3,677

Step by Step Solution

1. Step 1: Write the proportion equation
   6,471.50 : 8,930.67 = 3,677 : x
2. Step 2: Convert to fraction form
   6,471.50/8,930.67 = 3,677/x
3. Step 3: Cross multiply
   6,471.50x = 8,930.67 × 3,677
4. Step 4: Simplify right side
   6,471.50x = 32,838,073.59
5. Step 5: Solve for x
   x = 32,838,073.59/6,471.50
6. Step 6: Final answer
   x = 5,074.26