Finding the Fourth Proportional to 2,684.01, 3,704.16 and 1,565.04

Step by Step Solution

1. Step 1: Write the proportion equation
   2,684.01 : 3,704.16 = 1,565.04 : x
2. Step 2: Convert to fraction form
   2,684.01/3,704.16 = 1,565.04/x
3. Step 3: Cross multiply
   2,684.01x = 3,704.16 × 1,565.04
4. Step 4: Simplify right side
   2,684.01x = 5,797,158.57
5. Step 5: Solve for x
   x = 5,797,158.57/2,684.01
6. Step 6: Final answer
   x = 2,159.89