Finding the Fourth Proportional to 2,684.32, 3,705.72 and 1,565.08

Step by Step Solution

1. Step 1: Write the proportion equation
   2,684.32 : 3,705.72 = 1,565.08 : x
2. Step 2: Convert to fraction form
   2,684.32/3,705.72 = 1,565.08/x
3. Step 3: Cross multiply
   2,684.32x = 3,705.72 × 1,565.08
4. Step 4: Simplify right side
   2,684.32x = 5,799,748.26
5. Step 5: Solve for x
   x = 5,799,748.26/2,684.32
6. Step 6: Final answer
   x = 2,160.60