Finding the Fourth Proportional to 2,892.76, 3,992.01 and 1,566.46

Step by Step Solution

1. Step 1: Write the proportion equation
   2,892.76 : 3,992.01 = 1,566.46 : x
2. Step 2: Convert to fraction form
   2,892.76/3,992.01 = 1,566.46/x
3. Step 3: Cross multiply
   2,892.76x = 3,992.01 × 1,566.46
4. Step 4: Simplify right side
   2,892.76x = 6,253,323.98
5. Step 5: Solve for x
   x = 6,253,323.98/2,892.76
6. Step 6: Final answer
   x = 2,161.72