Finding the Fourth Proportional to 6,776.02, 10,165.59 and 3,655.96

Step by Step Solution

1. Step 1: Write the proportion equation
   6,776.02 : 10,165.59 = 3,655.96 : x
2. Step 2: Convert to fraction form
   6,776.02/10,165.59 = 3,655.96/x
3. Step 3: Cross multiply
   6,776.02x = 10,165.59 × 3,655.96
4. Step 4: Simplify right side
   6,776.02x = 37,164,990.42
5. Step 5: Solve for x
   x = 37,164,990.42/6,776.02
6. Step 6: Final answer
   x = 5,484.78