Finding the Fourth Proportional to 6,506.53, 8,978.67 and 3,817.37

Step by Step Solution

1. Step 1: Write the proportion equation
   6,506.53 : 8,978.67 = 3,817.37 : x
2. Step 2: Convert to fraction form
   6,506.53/8,978.67 = 3,817.37/x
3. Step 3: Cross multiply
   6,506.53x = 8,978.67 × 3,817.37
4. Step 4: Simplify right side
   6,506.53x = 34,274,899.21
5. Step 5: Solve for x
   x = 34,274,899.21/6,506.53
6. Step 6: Final answer
   x = 5,267.77