Finding the Fourth Proportional to 5,665.09, 7,817.46 and 3,147.15

Step by Step Solution

1. Step 1: Write the proportion equation
   5,665.09 : 7,817.46 = 3,147.15 : x
2. Step 2: Convert to fraction form
   5,665.09/7,817.46 = 3,147.15/x
3. Step 3: Cross multiply
   5,665.09x = 7,817.46 × 3,147.15
4. Step 4: Simplify right side
   5,665.09x = 24,602,754.46
5. Step 5: Solve for x
   x = 24,602,754.46/5,665.09
6. Step 6: Final answer
   x = 4,342.87