Finding the Fourth Proportional to 2,684.89, 3,704.79 and 1,565.74

Step by Step Solution

1. Step 1: Write the proportion equation
   2,684.89 : 3,704.79 = 1,565.74 : x
2. Step 2: Convert to fraction form
   2,684.89/3,704.79 = 1,565.74/x
3. Step 3: Cross multiply
   2,684.89x = 3,704.79 × 1,565.74
4. Step 4: Simplify right side
   2,684.89x = 5,800,737.89
5. Step 5: Solve for x
   x = 5,800,737.89/2,684.89
6. Step 6: Final answer
   x = 2,160.51