Finding the Fourth Proportional to 2,683.85, 3,704.72 and 1,565.14

Step by Step Solution

1. Step 1: Write the proportion equation
   2,683.85 : 3,704.72 = 1,565.14 : x
2. Step 2: Convert to fraction form
   2,683.85/3,704.72 = 1,565.14/x
3. Step 3: Cross multiply
   2,683.85x = 3,704.72 × 1,565.14
4. Step 4: Simplify right side
   2,683.85x = 5,798,409.37
5. Step 5: Solve for x
   x = 5,798,409.37/2,683.85
6. Step 6: Final answer
   x = 2,160.48