Finding the Fourth Proportional to 5,665.14, 7,816.50 and 3,675.78

Step by Step Solution

1. Step 1: Write the proportion equation
   5,665.14 : 7,816.50 = 3,675.78 : x
2. Step 2: Convert to fraction form
   5,665.14/7,816.50 = 3,675.78/x
3. Step 3: Cross multiply
   5,665.14x = 7,816.50 × 3,675.78
4. Step 4: Simplify right side
   5,665.14x = 28,731,734.37
5. Step 5: Solve for x
   x = 28,731,734.37/5,665.14
6. Step 6: Final answer
   x = 5,071.67