Finding the Fourth Proportional to 6,477.50, 8,938.98 and 3,683

Step by Step Solution

1. Step 1: Write the proportion equation
   6,477.50 : 8,938.98 = 3,683 : x
2. Step 2: Convert to fraction form
   6,477.50/8,938.98 = 3,683/x
3. Step 3: Cross multiply
   6,477.50x = 8,938.98 × 3,683
4. Step 4: Simplify right side
   6,477.50x = 32,922,263.34
5. Step 5: Solve for x
   x = 32,922,263.34/6,477.50
6. Step 6: Final answer
   x = 5,082.56