Finding the Fourth Proportional to 2,684.09, 3,704.00 and 1,565.07

Step by Step Solution

1. Step 1: Write the proportion equation
   2,684.09 : 3,704.00 = 1,565.07 : x
2. Step 2: Convert to fraction form
   2,684.09/3,704.00 = 1,565.07/x
3. Step 3: Cross multiply
   2,684.09x = 3,704.00 × 1,565.07
4. Step 4: Simplify right side
   2,684.09x = 5,797,011.45
5. Step 5: Solve for x
   x = 5,797,011.45/2,684.09
6. Step 6: Final answer
   x = 2,159.77