Finding the Fourth Proportional to 2,706.88, 3,735.54 and 1,588.62

Step by Step Solution

1. Step 1: Write the proportion equation
   2,706.88 : 3,735.54 = 1,588.62 : x
2. Step 2: Convert to fraction form
   2,706.88/3,735.54 = 1,588.62/x
3. Step 3: Cross multiply
   2,706.88x = 3,735.54 × 1,588.62
4. Step 4: Simplify right side
   2,706.88x = 5,934,353.55
5. Step 5: Solve for x
   x = 5,934,353.55/2,706.88
6. Step 6: Final answer
   x = 2,192.32