Finding the Fourth Proportional to 6,779.89, 10,173.68 and 3,659.86

Step by Step Solution

1. Step 1: Write the proportion equation
   6,779.89 : 10,173.68 = 3,659.86 : x
2. Step 2: Convert to fraction form
   6,779.89/10,173.68 = 3,659.86/x
3. Step 3: Cross multiply
   6,779.89x = 10,173.68 × 3,659.86
4. Step 4: Simplify right side
   6,779.89x = 37,234,175.32
5. Step 5: Solve for x
   x = 37,234,175.32/6,779.89
6. Step 6: Final answer
   x = 5,491.86