Finding the Fourth Proportional to 5,901.69, 8,142.26 and 3,777.57

Step by Step Solution

1. Step 1: Write the proportion equation
   5,901.69 : 8,142.26 = 3,777.57 : x
2. Step 2: Convert to fraction form
   5,901.69/8,142.26 = 3,777.57/x
3. Step 3: Cross multiply
   5,901.69x = 8,142.26 × 3,777.57
4. Step 4: Simplify right side
   5,901.69x = 30,757,938.22
5. Step 5: Solve for x
   x = 30,757,938.22/5,901.69
6. Step 6: Final answer
   x = 5,211.71