Finding the Fourth Proportional to 10,675.80, 16,016.20 and 3,655.89

Step by Step Solution

1. Step 1: Write the proportion equation
   10,675.80 : 16,016.20 = 3,655.89 : x
2. Step 2: Convert to fraction form
   10,675.80/16,016.20 = 3,655.89/x
3. Step 3: Cross multiply
   10,675.80x = 16,016.20 × 3,655.89
4. Step 4: Simplify right side
   10,675.80x = 58,553,465.42
5. Step 5: Solve for x
   x = 58,553,465.42/10,675.80
6. Step 6: Final answer
   x = 5,484.69