Finding the Fourth Proportional to 2,706.35, 3,734.81 and 1,588.09

Step by Step Solution

1. Step 1: Write the proportion equation
   2,706.35 : 3,734.81 = 1,588.09 : x
2. Step 2: Convert to fraction form
   2,706.35/3,734.81 = 1,588.09/x
3. Step 3: Cross multiply
   2,706.35x = 3,734.81 × 1,588.09
4. Step 4: Simplify right side
   2,706.35x = 5,931,214.41
5. Step 5: Solve for x
   x = 5,931,214.41/2,706.35
6. Step 6: Final answer
   x = 2,191.59