Finding the Fourth Proportional to 5,114.27, 7,677.56 and 3,465.82

Step by Step Solution

1. Step 1: Write the proportion equation
   5,114.27 : 7,677.56 = 3,465.82 : x
2. Step 2: Convert to fraction form
   5,114.27/7,677.56 = 3,465.82/x
3. Step 3: Cross multiply
   5,114.27x = 7,677.56 × 3,465.82
4. Step 4: Simplify right side
   5,114.27x = 26,609,004.48
5. Step 5: Solve for x
   x = 26,609,004.48/5,114.27
6. Step 6: Final answer
   x = 5,202.89