Finding the Fourth Proportional to 2,705.73, 3,733.98 and 1,586.76

Step by Step Solution

1. Step 1: Write the proportion equation
   2,705.73 : 3,733.98 = 1,586.76 : x
2. Step 2: Convert to fraction form
   2,705.73/3,733.98 = 1,586.76/x
3. Step 3: Cross multiply
   2,705.73x = 3,733.98 × 1,586.76
4. Step 4: Simplify right side
   2,705.73x = 5,924,930.10
5. Step 5: Solve for x
   x = 5,924,930.10/2,705.73
6. Step 6: Final answer
   x = 2,189.77