Finding the Fourth Proportional to 2,705.76, 3,733.96 and 1,586.71

Step by Step Solution

1. Step 1: Write the proportion equation
   2,705.76 : 3,733.96 = 1,586.71 : x
2. Step 2: Convert to fraction form
   2,705.76/3,733.96 = 1,586.71/x
3. Step 3: Cross multiply
   2,705.76x = 3,733.96 × 1,586.71
4. Step 4: Simplify right side
   2,705.76x = 5,924,711.67
5. Step 5: Solve for x
   x = 5,924,711.67/2,705.76
6. Step 6: Final answer
   x = 2,189.67