Finding the Fourth Proportional to 2,706.72, 3,734.64 and 1,587.60

Step by Step Solution

1. Step 1: Write the proportion equation
   2,706.72 : 3,734.64 = 1,587.60 : x
2. Step 2: Convert to fraction form
   2,706.72/3,734.64 = 1,587.60/x
3. Step 3: Cross multiply
   2,706.72x = 3,734.64 × 1,587.60
4. Step 4: Simplify right side
   2,706.72x = 5,929,114.46
5. Step 5: Solve for x
   x = 5,929,114.46/2,706.72
6. Step 6: Final answer
   x = 2,190.52