Finding the Fourth Proportional to 2,892.27, 3,991.33 and 1,565.98

Step by Step Solution

1. Step 1: Write the proportion equation
   2,892.27 : 3,991.33 = 1,565.98 : x
2. Step 2: Convert to fraction form
   2,892.27/3,991.33 = 1,565.98/x
3. Step 3: Cross multiply
   2,892.27x = 3,991.33 × 1,565.98
4. Step 4: Simplify right side
   2,892.27x = 6,250,348.58
5. Step 5: Solve for x
   x = 6,250,348.58/2,892.27
6. Step 6: Final answer
   x = 2,161.05