Finding the Fourth Proportional to 2,705.11, 3,733.16 and 1,585.89

Step by Step Solution

1. Step 1: Write the proportion equation
   2,705.11 : 3,733.16 = 1,585.89 : x
2. Step 2: Convert to fraction form
   2,705.11/3,733.16 = 1,585.89/x
3. Step 3: Cross multiply
   2,705.11x = 3,733.16 × 1,585.89
4. Step 4: Simplify right side
   2,705.11x = 5,920,373.18
5. Step 5: Solve for x
   x = 5,920,373.18/2,705.11
6. Step 6: Final answer
   x = 2,188.59