Finding the Fourth Proportional to 5,925.96, 8,174.82 and 3,688.20

Step by Step Solution

1. Step 1: Write the proportion equation
   5,925.96 : 8,174.82 = 3,688.20 : x
2. Step 2: Convert to fraction form
   5,925.96/8,174.82 = 3,688.20/x
3. Step 3: Cross multiply
   5,925.96x = 8,174.82 × 3,688.20
4. Step 4: Simplify right side
   5,925.96x = 30,150,371.12
5. Step 5: Solve for x
   x = 30,150,371.12/5,925.96
6. Step 6: Final answer
   x = 5,087.85