Finding the Fourth Proportional to 2,892.45, 3,991.56 and 1,566.15

Step by Step Solution

1. Step 1: Write the proportion equation
   2,892.45 : 3,991.56 = 1,566.15 : x
2. Step 2: Convert to fraction form
   2,892.45/3,991.56 = 1,566.15/x
3. Step 3: Cross multiply
   2,892.45x = 3,991.56 × 1,566.15
4. Step 4: Simplify right side
   2,892.45x = 6,251,381.69
5. Step 5: Solve for x
   x = 6,251,381.69/2,892.45
6. Step 6: Final answer
   x = 2,161.28