Finding the Fourth Proportional to 2,705.34, 3,733.40 and 1,586.31

Step by Step Solution

1. Step 1: Write the proportion equation
   2,705.34 : 3,733.40 = 1,586.31 : x
2. Step 2: Convert to fraction form
   2,705.34/3,733.40 = 1,586.31/x
3. Step 3: Cross multiply
   2,705.34x = 3,733.40 × 1,586.31
4. Step 4: Simplify right side
   2,705.34x = 5,922,321.82
5. Step 5: Solve for x
   x = 5,922,321.82/2,705.34
6. Step 6: Final answer
   x = 2,189.12