Finding the Fourth Proportional to 3,667.31, 5,501.97 and 1,586.42

Step by Step Solution

1. Step 1: Write the proportion equation
   3,667.31 : 5,501.97 = 1,586.42 : x
2. Step 2: Convert to fraction form
   3,667.31/5,501.97 = 1,586.42/x
3. Step 3: Cross multiply
   3,667.31x = 5,501.97 × 1,586.42
4. Step 4: Simplify right side
   3,667.31x = 8,728,407.74
5. Step 5: Solve for x
   x = 8,728,407.74/3,667.31
6. Step 6: Final answer
   x = 2,380.06