Finding the Fourth Proportional to 2,892.69, 3,991.89 and 1,566.42

Step by Step Solution

1. Step 1: Write the proportion equation
   2,892.69 : 3,991.89 = 1,566.42 : x
2. Step 2: Convert to fraction form
   2,892.69/3,991.89 = 1,566.42/x
3. Step 3: Cross multiply
   2,892.69x = 3,991.89 × 1,566.42
4. Step 4: Simplify right side
   2,892.69x = 6,252,976.33
5. Step 5: Solve for x
   x = 6,252,976.33/2,892.69
6. Step 6: Final answer
   x = 2,161.65