Finding the Fourth Proportional to 2,706.02, 3,734.33 and 1,586.73

Step by Step Solution

1. Step 1: Write the proportion equation
   2,706.02 : 3,734.33 = 1,586.73 : x
2. Step 2: Convert to fraction form
   2,706.02/3,734.33 = 1,586.73/x
3. Step 3: Cross multiply
   2,706.02x = 3,734.33 × 1,586.73
4. Step 4: Simplify right side
   2,706.02x = 5,925,365.51
5. Step 5: Solve for x
   x = 5,925,365.51/2,706.02
6. Step 6: Final answer
   x = 2,189.70