Finding the Fourth Proportional to 6,795.61, 10,196.34 and 3,677.80

Step by Step Solution

1. Step 1: Write the proportion equation
   6,795.61 : 10,196.34 = 3,677.80 : x
2. Step 2: Convert to fraction form
   6,795.61/10,196.34 = 3,677.80/x
3. Step 3: Cross multiply
   6,795.61x = 10,196.34 × 3,677.80
4. Step 4: Simplify right side
   6,795.61x = 37,500,099.25
5. Step 5: Solve for x
   x = 37,500,099.25/6,795.61
6. Step 6: Final answer
   x = 5,518.28