Finding the Fourth Proportional to 5,922.38, 8,174.62 and 3,683.14

Step by Step Solution

1. Step 1: Write the proportion equation
   5,922.38 : 8,174.62 = 3,683.14 : x
2. Step 2: Convert to fraction form
   5,922.38/8,174.62 = 3,683.14/x
3. Step 3: Cross multiply
   5,922.38x = 8,174.62 × 3,683.14
4. Step 4: Simplify right side
   5,922.38x = 30,108,254.07
5. Step 5: Solve for x
   x = 30,108,254.07/5,922.38
6. Step 6: Final answer
   x = 5,083.81