Finding the Fourth Proportional to 2,706.27, 3,734.67 and 1,586.98

Step by Step Solution

1. Step 1: Write the proportion equation
   2,706.27 : 3,734.67 = 1,586.98 : x
2. Step 2: Convert to fraction form
   2,706.27/3,734.67 = 1,586.98/x
3. Step 3: Cross multiply
   2,706.27x = 3,734.67 × 1,586.98
4. Step 4: Simplify right side
   2,706.27x = 5,926,846.60
5. Step 5: Solve for x
   x = 5,926,846.60/2,706.27
6. Step 6: Final answer
   x = 2,190.04