Finding the Fourth Proportional to 5,906.48, 8,147.76 and 3,667.60

Step by Step Solution

1. Step 1: Write the proportion equation
   5,906.48 : 8,147.76 = 3,667.60 : x
2. Step 2: Convert to fraction form
   5,906.48/8,147.76 = 3,667.60/x
3. Step 3: Cross multiply
   5,906.48x = 8,147.76 × 3,667.60
4. Step 4: Simplify right side
   5,906.48x = 29,882,724.58
5. Step 5: Solve for x
   x = 29,882,724.58/5,906.48
6. Step 6: Final answer
   x = 5,059.31