Finding the Fourth Proportional to 2,705.98, 3,733.38 and 1,586.56

Step by Step Solution

1. Step 1: Write the proportion equation
   2,705.98 : 3,733.38 = 1,586.56 : x
2. Step 2: Convert to fraction form
   2,705.98/3,733.38 = 1,586.56/x
3. Step 3: Cross multiply
   2,705.98x = 3,733.38 × 1,586.56
4. Step 4: Simplify right side
   2,705.98x = 5,923,231.37
5. Step 5: Solve for x
   x = 5,923,231.37/2,705.98
6. Step 6: Final answer
   x = 2,188.94