Finding the Fourth Proportional to 6,769.98, 10,157.87 and 3,646.35

Step by Step Solution

1. Step 1: Write the proportion equation
   6,769.98 : 10,157.87 = 3,646.35 : x
2. Step 2: Convert to fraction form
   6,769.98/10,157.87 = 3,646.35/x
3. Step 3: Cross multiply
   6,769.98x = 10,157.87 × 3,646.35
4. Step 4: Simplify right side
   6,769.98x = 37,039,158.39
5. Step 5: Solve for x
   x = 37,039,158.39/6,769.98
6. Step 6: Final answer
   x = 5,471.09