Finding the Fourth Proportional to 2,684.10, 3,703.82 and 1,565.76

Step by Step Solution

1. Step 1: Write the proportion equation
   2,684.10 : 3,703.82 = 1,565.76 : x
2. Step 2: Convert to fraction form
   2,684.10/3,703.82 = 1,565.76/x
3. Step 3: Cross multiply
   2,684.10x = 3,703.82 × 1,565.76
4. Step 4: Simplify right side
   2,684.10x = 5,799,285.37
5. Step 5: Solve for x
   x = 5,799,285.37/2,684.10
6. Step 6: Final answer
   x = 2,160.61