Finding the Fourth Proportional to 5,927.67, 8,181.82 and 3,688.21

Step by Step Solution

1. Step 1: Write the proportion equation
   5,927.67 : 8,181.82 = 3,688.21 : x
2. Step 2: Convert to fraction form
   5,927.67/8,181.82 = 3,688.21/x
3. Step 3: Cross multiply
   5,927.67x = 8,181.82 × 3,688.21
4. Step 4: Simplify right side
   5,927.67x = 30,176,270.34
5. Step 5: Solve for x
   x = 30,176,270.34/5,927.67
6. Step 6: Final answer
   x = 5,090.75